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Finding the Fourth Proportional to 215.78, 323.39 and 100.11

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Solution

The fourth proportional to 215.78, 323.39 and 100.11 is: 150.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.78 : 323.39 = 100.11 : x
  2. Step 2: Convert to fraction form
    215.78/323.39 = 100.11/x
  3. Step 3: Cross multiply
    215.78x = 323.39 × 100.11
  4. Step 4: Simplify right side
    215.78x = 32,374.57
  5. Step 5: Solve for x
    x = 32,374.57/215.78
  6. Step 6: Final answer
    x = 150.04

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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.