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Finding the Fourth Proportional to 229.16, 343.37 and 147.85

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Solution

The fourth proportional to 229.16, 343.37 and 147.85 is: 221.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.16 : 343.37 = 147.85 : x
  2. Step 2: Convert to fraction form
    229.16/343.37 = 147.85/x
  3. Step 3: Cross multiply
    229.16x = 343.37 × 147.85
  4. Step 4: Simplify right side
    229.16x = 50,766.77
  5. Step 5: Solve for x
    x = 50,766.77/229.16
  6. Step 6: Final answer
    x = 221.53

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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.