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Finding the Fourth Proportional to 233.82, 322.86 and 220.86

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Solution

The fourth proportional to 233.82, 322.86 and 220.86 is: 304.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.82 : 322.86 = 220.86 : x
  2. Step 2: Convert to fraction form
    233.82/322.86 = 220.86/x
  3. Step 3: Cross multiply
    233.82x = 322.86 × 220.86
  4. Step 4: Simplify right side
    233.82x = 71,306.86
  5. Step 5: Solve for x
    x = 71,306.86/233.82
  6. Step 6: Final answer
    x = 304.96

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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.