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Finding the Fourth Proportional to 215.32, 323.12 and 93.59

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Solution

The fourth proportional to 215.32, 323.12 and 93.59 is: 140.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.32 : 323.12 = 93.59 : x
  2. Step 2: Convert to fraction form
    215.32/323.12 = 93.59/x
  3. Step 3: Cross multiply
    215.32x = 323.12 × 93.59
  4. Step 4: Simplify right side
    215.32x = 30,240.33
  5. Step 5: Solve for x
    x = 30,240.33/215.32
  6. Step 6: Final answer
    x = 140.45

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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.