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Finding the Fourth Proportional to 232.64, 318.48 and 231.04

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Solution

The fourth proportional to 232.64, 318.48 and 231.04 is: 316.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.64 : 318.48 = 231.04 : x
  2. Step 2: Convert to fraction form
    232.64/318.48 = 231.04/x
  3. Step 3: Cross multiply
    232.64x = 318.48 × 231.04
  4. Step 4: Simplify right side
    232.64x = 73,581.62
  5. Step 5: Solve for x
    x = 73,581.62/232.64
  6. Step 6: Final answer
    x = 316.29

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.