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Finding the Fourth Proportional to 154.74, 230.56 and 138.58

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Solution

The fourth proportional to 154.74, 230.56 and 138.58 is: 206.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.74 : 230.56 = 138.58 : x
  2. Step 2: Convert to fraction form
    154.74/230.56 = 138.58/x
  3. Step 3: Cross multiply
    154.74x = 230.56 × 138.58
  4. Step 4: Simplify right side
    154.74x = 31,951.00
  5. Step 5: Solve for x
    x = 31,951.00/154.74
  6. Step 6: Final answer
    x = 206.48

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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.