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Finding the Fourth Proportional to 159.74, 220.61 and 149.96

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Solution

The fourth proportional to 159.74, 220.61 and 149.96 is: 207.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.74 : 220.61 = 149.96 : x
  2. Step 2: Convert to fraction form
    159.74/220.61 = 149.96/x
  3. Step 3: Cross multiply
    159.74x = 220.61 × 149.96
  4. Step 4: Simplify right side
    159.74x = 33,082.68
  5. Step 5: Solve for x
    x = 33,082.68/159.74
  6. Step 6: Final answer
    x = 207.10

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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.