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Finding the Fourth Proportional to 154.62, 232.79 and 127.98

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Solution

The fourth proportional to 154.62, 232.79 and 127.98 is: 192.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.62 : 232.79 = 127.98 : x
  2. Step 2: Convert to fraction form
    154.62/232.79 = 127.98/x
  3. Step 3: Cross multiply
    154.62x = 232.79 × 127.98
  4. Step 4: Simplify right side
    154.62x = 29,791.82
  5. Step 5: Solve for x
    x = 29,791.82/154.62
  6. Step 6: Final answer
    x = 192.68

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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.