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Finding the Fourth Proportional to 154.12, 230.06 and 137.92

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Solution

The fourth proportional to 154.12, 230.06 and 137.92 is: 205.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.12 : 230.06 = 137.92 : x
  2. Step 2: Convert to fraction form
    154.12/230.06 = 137.92/x
  3. Step 3: Cross multiply
    154.12x = 230.06 × 137.92
  4. Step 4: Simplify right side
    154.12x = 31,729.88
  5. Step 5: Solve for x
    x = 31,729.88/154.12
  6. Step 6: Final answer
    x = 205.88

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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.