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Finding the Fourth Proportional to 159.38, 238.98 and 82.26

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Solution

The fourth proportional to 159.38, 238.98 and 82.26 is: 123.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.38 : 238.98 = 82.26 : x
  2. Step 2: Convert to fraction form
    159.38/238.98 = 82.26/x
  3. Step 3: Cross multiply
    159.38x = 238.98 × 82.26
  4. Step 4: Simplify right side
    159.38x = 19,658.49
  5. Step 5: Solve for x
    x = 19,658.49/159.38
  6. Step 6: Final answer
    x = 123.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.