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Finding the Fourth Proportional to 154.38, 230.42 and 142.18

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Solution

The fourth proportional to 154.38, 230.42 and 142.18 is: 212.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.38 : 230.42 = 142.18 : x
  2. Step 2: Convert to fraction form
    154.38/230.42 = 142.18/x
  3. Step 3: Cross multiply
    154.38x = 230.42 × 142.18
  4. Step 4: Simplify right side
    154.38x = 32,760.89
  5. Step 5: Solve for x
    x = 32,760.89/154.38
  6. Step 6: Final answer
    x = 212.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.