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Finding the Fourth Proportional to 360.24, 539.65 and 177.09

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Solution

The fourth proportional to 360.24, 539.65 and 177.09 is: 265.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.24 : 539.65 = 177.09 : x
  2. Step 2: Convert to fraction form
    360.24/539.65 = 177.09/x
  3. Step 3: Cross multiply
    360.24x = 539.65 × 177.09
  4. Step 4: Simplify right side
    360.24x = 95,566.62
  5. Step 5: Solve for x
    x = 95,566.62/360.24
  6. Step 6: Final answer
    x = 265.29

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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.