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Finding the Fourth Proportional to 160.48, 239.12 and 150.22

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Solution

The fourth proportional to 160.48, 239.12 and 150.22 is: 223.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.48 : 239.12 = 150.22 : x
  2. Step 2: Convert to fraction form
    160.48/239.12 = 150.22/x
  3. Step 3: Cross multiply
    160.48x = 239.12 × 150.22
  4. Step 4: Simplify right side
    160.48x = 35,920.72
  5. Step 5: Solve for x
    x = 35,920.72/160.48
  6. Step 6: Final answer
    x = 223.83

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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.