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Finding the Fourth Proportional to 158.81, 238.31 and 142.79

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Solution

The fourth proportional to 158.81, 238.31 and 142.79 is: 214.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.81 : 238.31 = 142.79 : x
  2. Step 2: Convert to fraction form
    158.81/238.31 = 142.79/x
  3. Step 3: Cross multiply
    158.81x = 238.31 × 142.79
  4. Step 4: Simplify right side
    158.81x = 34,027.57
  5. Step 5: Solve for x
    x = 34,027.57/158.81
  6. Step 6: Final answer
    x = 214.27

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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.