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Finding the Fourth Proportional to 238.60, 358.20 and 157.96

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Solution

The fourth proportional to 238.60, 358.20 and 157.96 is: 237.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.60 : 358.20 = 157.96 : x
  2. Step 2: Convert to fraction form
    238.60/358.20 = 157.96/x
  3. Step 3: Cross multiply
    238.60x = 358.20 × 157.96
  4. Step 4: Simplify right side
    238.60x = 56,581.27
  5. Step 5: Solve for x
    x = 56,581.27/238.60
  6. Step 6: Final answer
    x = 237.14

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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.