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Finding the Fourth Proportional to 154.38, 230.19 and 151.86

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Solution

The fourth proportional to 154.38, 230.19 and 151.86 is: 226.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.38 : 230.19 = 151.86 : x
  2. Step 2: Convert to fraction form
    154.38/230.19 = 151.86/x
  3. Step 3: Cross multiply
    154.38x = 230.19 × 151.86
  4. Step 4: Simplify right side
    154.38x = 34,956.65
  5. Step 5: Solve for x
    x = 34,956.65/154.38
  6. Step 6: Final answer
    x = 226.43

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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.