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Finding the Fourth Proportional to 215.34, 321.57 and 169.17

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Solution

The fourth proportional to 215.34, 321.57 and 169.17 is: 252.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.34 : 321.57 = 169.17 : x
  2. Step 2: Convert to fraction form
    215.34/321.57 = 169.17/x
  3. Step 3: Cross multiply
    215.34x = 321.57 × 169.17
  4. Step 4: Simplify right side
    215.34x = 54,400.00
  5. Step 5: Solve for x
    x = 54,400.00/215.34
  6. Step 6: Final answer
    x = 252.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.