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Finding the Fourth Proportional to 159.83, 239.92 and 114.27

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Solution

The fourth proportional to 159.83, 239.92 and 114.27 is: 171.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.83 : 239.92 = 114.27 : x
  2. Step 2: Convert to fraction form
    159.83/239.92 = 114.27/x
  3. Step 3: Cross multiply
    159.83x = 239.92 × 114.27
  4. Step 4: Simplify right side
    159.83x = 27,415.37
  5. Step 5: Solve for x
    x = 27,415.37/159.83
  6. Step 6: Final answer
    x = 171.53

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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.