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Finding the Fourth Proportional to 160.49, 239.58 and 149.24

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Solution

The fourth proportional to 160.49, 239.58 and 149.24 is: 222.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.49 : 239.58 = 149.24 : x
  2. Step 2: Convert to fraction form
    160.49/239.58 = 149.24/x
  3. Step 3: Cross multiply
    160.49x = 239.58 × 149.24
  4. Step 4: Simplify right side
    160.49x = 35,754.17
  5. Step 5: Solve for x
    x = 35,754.17/160.49
  6. Step 6: Final answer
    x = 222.78

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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.