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Finding the Fourth Proportional to 154.44, 232.62 and 137.52

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Solution

The fourth proportional to 154.44, 232.62 and 137.52 is: 207.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.44 : 232.62 = 137.52 : x
  2. Step 2: Convert to fraction form
    154.44/232.62 = 137.52/x
  3. Step 3: Cross multiply
    154.44x = 232.62 × 137.52
  4. Step 4: Simplify right side
    154.44x = 31,989.90
  5. Step 5: Solve for x
    x = 31,989.90/154.44
  6. Step 6: Final answer
    x = 207.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.