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Finding the Fourth Proportional to 352.76, 528.76 and 147.24

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Solution

The fourth proportional to 352.76, 528.76 and 147.24 is: 220.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.76 : 528.76 = 147.24 : x
  2. Step 2: Convert to fraction form
    352.76/528.76 = 147.24/x
  3. Step 3: Cross multiply
    352.76x = 528.76 × 147.24
  4. Step 4: Simplify right side
    352.76x = 77,854.62
  5. Step 5: Solve for x
    x = 77,854.62/352.76
  6. Step 6: Final answer
    x = 220.70

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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.