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Finding the Fourth Proportional to 360.14, 539.91 and 177.29

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Solution

The fourth proportional to 360.14, 539.91 and 177.29 is: 265.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.14 : 539.91 = 177.29 : x
  2. Step 2: Convert to fraction form
    360.14/539.91 = 177.29/x
  3. Step 3: Cross multiply
    360.14x = 539.91 × 177.29
  4. Step 4: Simplify right side
    360.14x = 95,717.06
  5. Step 5: Solve for x
    x = 95,717.06/360.14
  6. Step 6: Final answer
    x = 265.78

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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.