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Finding the Fourth Proportional to 360.28, 539.49 and 177.22

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Solution

The fourth proportional to 360.28, 539.49 and 177.22 is: 265.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.28 : 539.49 = 177.22 : x
  2. Step 2: Convert to fraction form
    360.28/539.49 = 177.22/x
  3. Step 3: Cross multiply
    360.28x = 539.49 × 177.22
  4. Step 4: Simplify right side
    360.28x = 95,605.72
  5. Step 5: Solve for x
    x = 95,605.72/360.28
  6. Step 6: Final answer
    x = 265.37

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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.