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Finding the Fourth Proportional to 232.47, 319.78 and 230.88

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Solution

The fourth proportional to 232.47, 319.78 and 230.88 is: 317.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.47 : 319.78 = 230.88 : x
  2. Step 2: Convert to fraction form
    232.47/319.78 = 230.88/x
  3. Step 3: Cross multiply
    232.47x = 319.78 × 230.88
  4. Step 4: Simplify right side
    232.47x = 73,832.29
  5. Step 5: Solve for x
    x = 73,832.29/232.47
  6. Step 6: Final answer
    x = 317.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.