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Finding the Fourth Proportional to 232.67, 347.10 and 216.10

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Solution

The fourth proportional to 232.67, 347.10 and 216.10 is: 322.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.67 : 347.10 = 216.10 : x
  2. Step 2: Convert to fraction form
    232.67/347.10 = 216.10/x
  3. Step 3: Cross multiply
    232.67x = 347.10 × 216.10
  4. Step 4: Simplify right side
    232.67x = 75,006.59
  5. Step 5: Solve for x
    x = 75,006.59/232.67
  6. Step 6: Final answer
    x = 322.38

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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.