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Finding the Fourth Proportional to 179.78, 268.38 and 167.13

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Solution

The fourth proportional to 179.78, 268.38 and 167.13 is: 249.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.78 : 268.38 = 167.13 : x
  2. Step 2: Convert to fraction form
    179.78/268.38 = 167.13/x
  3. Step 3: Cross multiply
    179.78x = 268.38 × 167.13
  4. Step 4: Simplify right side
    179.78x = 44,854.35
  5. Step 5: Solve for x
    x = 44,854.35/179.78
  6. Step 6: Final answer
    x = 249.50

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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.