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Finding the Fourth Proportional to 162.27, 241.92 and 159.03

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Solution

The fourth proportional to 162.27, 241.92 and 159.03 is: 237.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.27 : 241.92 = 159.03 : x
  2. Step 2: Convert to fraction form
    162.27/241.92 = 159.03/x
  3. Step 3: Cross multiply
    162.27x = 241.92 × 159.03
  4. Step 4: Simplify right side
    162.27x = 38,472.54
  5. Step 5: Solve for x
    x = 38,472.54/162.27
  6. Step 6: Final answer
    x = 237.09

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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.