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Finding the Fourth Proportional to 182.29, 250.98 and 169.87

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Solution

The fourth proportional to 182.29, 250.98 and 169.87 is: 233.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.29 : 250.98 = 169.87 : x
  2. Step 2: Convert to fraction form
    182.29/250.98 = 169.87/x
  3. Step 3: Cross multiply
    182.29x = 250.98 × 169.87
  4. Step 4: Simplify right side
    182.29x = 42,632.71
  5. Step 5: Solve for x
    x = 42,632.71/182.29
  6. Step 6: Final answer
    x = 233.88

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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.