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Finding the Fourth Proportional to 360.16, 539.84 and 177.28

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Solution

The fourth proportional to 360.16, 539.84 and 177.28 is: 265.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.16 : 539.84 = 177.28 : x
  2. Step 2: Convert to fraction form
    360.16/539.84 = 177.28/x
  3. Step 3: Cross multiply
    360.16x = 539.84 × 177.28
  4. Step 4: Simplify right side
    360.16x = 95,702.84
  5. Step 5: Solve for x
    x = 95,702.84/360.16
  6. Step 6: Final answer
    x = 265.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.