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Finding the Fourth Proportional to 232.88, 347.25 and 216.14

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Solution

The fourth proportional to 232.88, 347.25 and 216.14 is: 322.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.88 : 347.25 = 216.14 : x
  2. Step 2: Convert to fraction form
    232.88/347.25 = 216.14/x
  3. Step 3: Cross multiply
    232.88x = 347.25 × 216.14
  4. Step 4: Simplify right side
    232.88x = 75,053.69
  5. Step 5: Solve for x
    x = 75,053.69/232.88
  6. Step 6: Final answer
    x = 322.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.