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Finding the Fourth Proportional to 233.26, 321.04 and 216.49

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Solution

The fourth proportional to 233.26, 321.04 and 216.49 is: 297.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.26 : 321.04 = 216.49 : x
  2. Step 2: Convert to fraction form
    233.26/321.04 = 216.49/x
  3. Step 3: Cross multiply
    233.26x = 321.04 × 216.49
  4. Step 4: Simplify right side
    233.26x = 69,500.61
  5. Step 5: Solve for x
    x = 69,500.61/233.26
  6. Step 6: Final answer
    x = 297.95

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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.