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Finding the Fourth Proportional to 182.68, 252.03 and 108.97

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Solution

The fourth proportional to 182.68, 252.03 and 108.97 is: 150.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.68 : 252.03 = 108.97 : x
  2. Step 2: Convert to fraction form
    182.68/252.03 = 108.97/x
  3. Step 3: Cross multiply
    182.68x = 252.03 × 108.97
  4. Step 4: Simplify right side
    182.68x = 27,463.71
  5. Step 5: Solve for x
    x = 27,463.71/182.68
  6. Step 6: Final answer
    x = 150.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.