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Finding the Fourth Proportional to 194.88, 269.10 and 167.52

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Solution

The fourth proportional to 194.88, 269.10 and 167.52 is: 231.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.88 : 269.10 = 167.52 : x
  2. Step 2: Convert to fraction form
    194.88/269.10 = 167.52/x
  3. Step 3: Cross multiply
    194.88x = 269.10 × 167.52
  4. Step 4: Simplify right side
    194.88x = 45,079.63
  5. Step 5: Solve for x
    x = 45,079.63/194.88
  6. Step 6: Final answer
    x = 231.32

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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.