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Finding the Fourth Proportional to 159.42, 239.22 and 78.27

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Solution

The fourth proportional to 159.42, 239.22 and 78.27 is: 117.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.42 : 239.22 = 78.27 : x
  2. Step 2: Convert to fraction form
    159.42/239.22 = 78.27/x
  3. Step 3: Cross multiply
    159.42x = 239.22 × 78.27
  4. Step 4: Simplify right side
    159.42x = 18,722.55
  5. Step 5: Solve for x
    x = 18,722.55/159.42
  6. Step 6: Final answer
    x = 117.44

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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.