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Finding the Fourth Proportional to 160.74, 221.85 and 140.04

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Solution

The fourth proportional to 160.74, 221.85 and 140.04 is: 193.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.74 : 221.85 = 140.04 : x
  2. Step 2: Convert to fraction form
    160.74/221.85 = 140.04/x
  3. Step 3: Cross multiply
    160.74x = 221.85 × 140.04
  4. Step 4: Simplify right side
    160.74x = 31,067.87
  5. Step 5: Solve for x
    x = 31,067.87/160.74
  6. Step 6: Final answer
    x = 193.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.