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Finding the Fourth Proportional to 215.78, 323.81 and 113.13

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Solution

The fourth proportional to 215.78, 323.81 and 113.13 is: 169.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.78 : 323.81 = 113.13 : x
  2. Step 2: Convert to fraction form
    215.78/323.81 = 113.13/x
  3. Step 3: Cross multiply
    215.78x = 323.81 × 113.13
  4. Step 4: Simplify right side
    215.78x = 36,632.06
  5. Step 5: Solve for x
    x = 36,632.06/215.78
  6. Step 6: Final answer
    x = 169.77

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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.