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Finding the Fourth Proportional to 510.96, 766.48 and 186.32

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Solution

The fourth proportional to 510.96, 766.48 and 186.32 is: 279.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.96 : 766.48 = 186.32 : x
  2. Step 2: Convert to fraction form
    510.96/766.48 = 186.32/x
  3. Step 3: Cross multiply
    510.96x = 766.48 × 186.32
  4. Step 4: Simplify right side
    510.96x = 142,810.55
  5. Step 5: Solve for x
    x = 142,810.55/510.96
  6. Step 6: Final answer
    x = 279.49

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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.