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Finding the Fourth Proportional to 159.00, 238.17 and 77.68

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Solution

The fourth proportional to 159.00, 238.17 and 77.68 is: 116.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.00 : 238.17 = 77.68 : x
  2. Step 2: Convert to fraction form
    159.00/238.17 = 77.68/x
  3. Step 3: Cross multiply
    159.00x = 238.17 × 77.68
  4. Step 4: Simplify right side
    159.00x = 18,499.64
  5. Step 5: Solve for x
    x = 18,499.64/159.00
  6. Step 6: Final answer
    x = 116.35

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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.