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Finding the Fourth Proportional to 510.95, 766.08 and 186.28

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Solution

The fourth proportional to 510.95, 766.08 and 186.28 is: 279.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.95 : 766.08 = 186.28 : x
  2. Step 2: Convert to fraction form
    510.95/766.08 = 186.28/x
  3. Step 3: Cross multiply
    510.95x = 766.08 × 186.28
  4. Step 4: Simplify right side
    510.95x = 142,705.38
  5. Step 5: Solve for x
    x = 142,705.38/510.95
  6. Step 6: Final answer
    x = 279.29

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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.