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Finding the Fourth Proportional to 154.74, 230.91 and 136.47

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Solution

The fourth proportional to 154.74, 230.91 and 136.47 is: 203.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.74 : 230.91 = 136.47 : x
  2. Step 2: Convert to fraction form
    154.74/230.91 = 136.47/x
  3. Step 3: Cross multiply
    154.74x = 230.91 × 136.47
  4. Step 4: Simplify right side
    154.74x = 31,512.29
  5. Step 5: Solve for x
    x = 31,512.29/154.74
  6. Step 6: Final answer
    x = 203.65

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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.