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Finding the Fourth Proportional to 215.76, 323.32 and 106.04

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Solution

The fourth proportional to 215.76, 323.32 and 106.04 is: 158.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.76 : 323.32 = 106.04 : x
  2. Step 2: Convert to fraction form
    215.76/323.32 = 106.04/x
  3. Step 3: Cross multiply
    215.76x = 323.32 × 106.04
  4. Step 4: Simplify right side
    215.76x = 34,282.97
  5. Step 5: Solve for x
    x = 34,282.97/215.76
  6. Step 6: Final answer
    x = 158.90

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Why These Related Problems?

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