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Finding the Fourth Proportional to 215.60, 323.33 and 112.86

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Solution

The fourth proportional to 215.60, 323.33 and 112.86 is: 169.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.60 : 323.33 = 112.86 : x
  2. Step 2: Convert to fraction form
    215.60/323.33 = 112.86/x
  3. Step 3: Cross multiply
    215.60x = 323.33 × 112.86
  4. Step 4: Simplify right side
    215.60x = 36,490.46
  5. Step 5: Solve for x
    x = 36,490.46/215.60
  6. Step 6: Final answer
    x = 169.25

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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.