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Finding the Fourth Proportional to 238.52, 330.69 and 230.91

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Solution

The fourth proportional to 238.52, 330.69 and 230.91 is: 320.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.52 : 330.69 = 230.91 : x
  2. Step 2: Convert to fraction form
    238.52/330.69 = 230.91/x
  3. Step 3: Cross multiply
    238.52x = 330.69 × 230.91
  4. Step 4: Simplify right side
    238.52x = 76,359.63
  5. Step 5: Solve for x
    x = 76,359.63/238.52
  6. Step 6: Final answer
    x = 320.15

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.