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Finding the Fourth Proportional to 215.37, 323.10 and 93.78

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Solution

The fourth proportional to 215.37, 323.10 and 93.78 is: 140.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.37 : 323.10 = 93.78 : x
  2. Step 2: Convert to fraction form
    215.37/323.10 = 93.78/x
  3. Step 3: Cross multiply
    215.37x = 323.10 × 93.78
  4. Step 4: Simplify right side
    215.37x = 30,300.32
  5. Step 5: Solve for x
    x = 30,300.32/215.37
  6. Step 6: Final answer
    x = 140.69

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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.