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Finding the Fourth Proportional to 160.74, 221.66 and 138.88

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Solution

The fourth proportional to 160.74, 221.66 and 138.88 is: 191.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.74 : 221.66 = 138.88 : x
  2. Step 2: Convert to fraction form
    160.74/221.66 = 138.88/x
  3. Step 3: Cross multiply
    160.74x = 221.66 × 138.88
  4. Step 4: Simplify right side
    160.74x = 30,784.14
  5. Step 5: Solve for x
    x = 30,784.14/160.74
  6. Step 6: Final answer
    x = 191.52

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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.