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Finding the Fourth Proportional to 510.90, 766.35 and 186.23

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Solution

The fourth proportional to 510.90, 766.35 and 186.23 is: 279.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.90 : 766.35 = 186.23 : x
  2. Step 2: Convert to fraction form
    510.90/766.35 = 186.23/x
  3. Step 3: Cross multiply
    510.90x = 766.35 × 186.23
  4. Step 4: Simplify right side
    510.90x = 142,713.53
  5. Step 5: Solve for x
    x = 142,713.53/510.90
  6. Step 6: Final answer
    x = 279.34

Related Problems

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.