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Finding the Fourth Proportional to 182.19, 250.85 and 169.77

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Solution

The fourth proportional to 182.19, 250.85 and 169.77 is: 233.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.19 : 250.85 = 169.77 : x
  2. Step 2: Convert to fraction form
    182.19/250.85 = 169.77/x
  3. Step 3: Cross multiply
    182.19x = 250.85 × 169.77
  4. Step 4: Simplify right side
    182.19x = 42,587.21
  5. Step 5: Solve for x
    x = 42,587.21/182.19
  6. Step 6: Final answer
    x = 233.75

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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.