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Finding the Fourth Proportional to 360.25, 539.87 and 177.39

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Solution

The fourth proportional to 360.25, 539.87 and 177.39 is: 265.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.25 : 539.87 = 177.39 : x
  2. Step 2: Convert to fraction form
    360.25/539.87 = 177.39/x
  3. Step 3: Cross multiply
    360.25x = 539.87 × 177.39
  4. Step 4: Simplify right side
    360.25x = 95,766.65
  5. Step 5: Solve for x
    x = 95,766.65/360.25
  6. Step 6: Final answer
    x = 265.84

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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.