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Finding the Fourth Proportional to 352.81, 529.33 and 147.44

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Solution

The fourth proportional to 352.81, 529.33 and 147.44 is: 221.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.81 : 529.33 = 147.44 : x
  2. Step 2: Convert to fraction form
    352.81/529.33 = 147.44/x
  3. Step 3: Cross multiply
    352.81x = 529.33 × 147.44
  4. Step 4: Simplify right side
    352.81x = 78,042.88
  5. Step 5: Solve for x
    x = 78,042.88/352.81
  6. Step 6: Final answer
    x = 221.20

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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.