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Finding the Fourth Proportional to 159.32, 238.67 and 82.16

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Solution

The fourth proportional to 159.32, 238.67 and 82.16 is: 123.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.32 : 238.67 = 82.16 : x
  2. Step 2: Convert to fraction form
    159.32/238.67 = 82.16/x
  3. Step 3: Cross multiply
    159.32x = 238.67 × 82.16
  4. Step 4: Simplify right side
    159.32x = 19,609.52
  5. Step 5: Solve for x
    x = 19,609.52/159.32
  6. Step 6: Final answer
    x = 123.09

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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.