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Finding the Fourth Proportional to 167.78, 252.15 and 113.12

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Solution

The fourth proportional to 167.78, 252.15 and 113.12 is: 170.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.78 : 252.15 = 113.12 : x
  2. Step 2: Convert to fraction form
    167.78/252.15 = 113.12/x
  3. Step 3: Cross multiply
    167.78x = 252.15 × 113.12
  4. Step 4: Simplify right side
    167.78x = 28,521.38
  5. Step 5: Solve for x
    x = 28,521.38/167.78
  6. Step 6: Final answer
    x = 170.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.