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Finding the Fourth Proportional to 233.52, 322.49 and 217.14

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Solution

The fourth proportional to 233.52, 322.49 and 217.14 is: 299.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.52 : 322.49 = 217.14 : x
  2. Step 2: Convert to fraction form
    233.52/322.49 = 217.14/x
  3. Step 3: Cross multiply
    233.52x = 322.49 × 217.14
  4. Step 4: Simplify right side
    233.52x = 70,024.39
  5. Step 5: Solve for x
    x = 70,024.39/233.52
  6. Step 6: Final answer
    x = 299.86

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