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Finding the Fourth Proportional to 215.96, 323.16 and 187.17

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Solution

The fourth proportional to 215.96, 323.16 and 187.17 is: 280.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.96 : 323.16 = 187.17 : x
  2. Step 2: Convert to fraction form
    215.96/323.16 = 187.17/x
  3. Step 3: Cross multiply
    215.96x = 323.16 × 187.17
  4. Step 4: Simplify right side
    215.96x = 60,485.86
  5. Step 5: Solve for x
    x = 60,485.86/215.96
  6. Step 6: Final answer
    x = 280.09

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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.