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Finding the Fourth Proportional to 238.73, 358.11 and 76.43

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Solution

The fourth proportional to 238.73, 358.11 and 76.43 is: 114.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.73 : 358.11 = 76.43 : x
  2. Step 2: Convert to fraction form
    238.73/358.11 = 76.43/x
  3. Step 3: Cross multiply
    238.73x = 358.11 × 76.43
  4. Step 4: Simplify right side
    238.73x = 27,368.17
  5. Step 5: Solve for x
    x = 27,368.17/238.73
  6. Step 6: Final answer
    x = 114.64

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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.