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Finding the Fourth Proportional to 182.13, 249.86 and 177.35

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Solution

The fourth proportional to 182.13, 249.86 and 177.35 is: 243.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.13 : 249.86 = 177.35 : x
  2. Step 2: Convert to fraction form
    182.13/249.86 = 177.35/x
  3. Step 3: Cross multiply
    182.13x = 249.86 × 177.35
  4. Step 4: Simplify right side
    182.13x = 44,310.53
  5. Step 5: Solve for x
    x = 44,310.53/182.13
  6. Step 6: Final answer
    x = 243.29

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.