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Finding the Fourth Proportional to 238.47, 358.32 and 231.78

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Solution

The fourth proportional to 238.47, 358.32 and 231.78 is: 348.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.47 : 358.32 = 231.78 : x
  2. Step 2: Convert to fraction form
    238.47/358.32 = 231.78/x
  3. Step 3: Cross multiply
    238.47x = 358.32 × 231.78
  4. Step 4: Simplify right side
    238.47x = 83,051.41
  5. Step 5: Solve for x
    x = 83,051.41/238.47
  6. Step 6: Final answer
    x = 348.27

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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.