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Finding the Fourth Proportional to 154.38, 230.43 and 142.19

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Solution

The fourth proportional to 154.38, 230.43 and 142.19 is: 212.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.38 : 230.43 = 142.19 : x
  2. Step 2: Convert to fraction form
    154.38/230.43 = 142.19/x
  3. Step 3: Cross multiply
    154.38x = 230.43 × 142.19
  4. Step 4: Simplify right side
    154.38x = 32,763.69
  5. Step 5: Solve for x
    x = 32,763.69/154.38
  6. Step 6: Final answer
    x = 212.23

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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.