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Finding the Fourth Proportional to 215.93, 323.88 and 61.86

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Solution

The fourth proportional to 215.93, 323.88 and 61.86 is: 92.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.93 : 323.88 = 61.86 : x
  2. Step 2: Convert to fraction form
    215.93/323.88 = 61.86/x
  3. Step 3: Cross multiply
    215.93x = 323.88 × 61.86
  4. Step 4: Simplify right side
    215.93x = 20,035.22
  5. Step 5: Solve for x
    x = 20,035.22/215.93
  6. Step 6: Final answer
    x = 92.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.