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Finding the Fourth Proportional to 232.28, 350.04 and 209.16

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Solution

The fourth proportional to 232.28, 350.04 and 209.16 is: 315.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.28 : 350.04 = 209.16 : x
  2. Step 2: Convert to fraction form
    232.28/350.04 = 209.16/x
  3. Step 3: Cross multiply
    232.28x = 350.04 × 209.16
  4. Step 4: Simplify right side
    232.28x = 73,216.46
  5. Step 5: Solve for x
    x = 73,216.46/232.28
  6. Step 6: Final answer
    x = 315.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.