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Finding the Fourth Proportional to 229.29, 343.38 and 146.73

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Solution

The fourth proportional to 229.29, 343.38 and 146.73 is: 219.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.29 : 343.38 = 146.73 : x
  2. Step 2: Convert to fraction form
    229.29/343.38 = 146.73/x
  3. Step 3: Cross multiply
    229.29x = 343.38 × 146.73
  4. Step 4: Simplify right side
    229.29x = 50,384.15
  5. Step 5: Solve for x
    x = 50,384.15/229.29
  6. Step 6: Final answer
    x = 219.74

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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.