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Finding the Fourth Proportional to 353.60, 529.92 and 148.04

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Solution

The fourth proportional to 353.60, 529.92 and 148.04 is: 221.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.60 : 529.92 = 148.04 : x
  2. Step 2: Convert to fraction form
    353.60/529.92 = 148.04/x
  3. Step 3: Cross multiply
    353.60x = 529.92 × 148.04
  4. Step 4: Simplify right side
    353.60x = 78,448.69
  5. Step 5: Solve for x
    x = 78,448.69/353.60
  6. Step 6: Final answer
    x = 221.86

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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.