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Finding the Fourth Proportional to 160.97, 239.74 and 153.95

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Solution

The fourth proportional to 160.97, 239.74 and 153.95 is: 229.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.97 : 239.74 = 153.95 : x
  2. Step 2: Convert to fraction form
    160.97/239.74 = 153.95/x
  3. Step 3: Cross multiply
    160.97x = 239.74 × 153.95
  4. Step 4: Simplify right side
    160.97x = 36,906.39
  5. Step 5: Solve for x
    x = 36,906.39/160.97
  6. Step 6: Final answer
    x = 229.28

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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.