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Finding the Fourth Proportional to 229.36, 343.85 and 142.71

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Solution

The fourth proportional to 229.36, 343.85 and 142.71 is: 213.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.36 : 343.85 = 142.71 : x
  2. Step 2: Convert to fraction form
    229.36/343.85 = 142.71/x
  3. Step 3: Cross multiply
    229.36x = 343.85 × 142.71
  4. Step 4: Simplify right side
    229.36x = 49,070.83
  5. Step 5: Solve for x
    x = 49,070.83/229.36
  6. Step 6: Final answer
    x = 213.95

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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.