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Finding the Fourth Proportional to 215.29, 321.33 and 185.88

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Solution

The fourth proportional to 215.29, 321.33 and 185.88 is: 277.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.29 : 321.33 = 185.88 : x
  2. Step 2: Convert to fraction form
    215.29/321.33 = 185.88/x
  3. Step 3: Cross multiply
    215.29x = 321.33 × 185.88
  4. Step 4: Simplify right side
    215.29x = 59,729.30
  5. Step 5: Solve for x
    x = 59,729.30/215.29
  6. Step 6: Final answer
    x = 277.43

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