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Finding the Fourth Proportional to 167.78, 252.14 and 99.34

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Solution

The fourth proportional to 167.78, 252.14 and 99.34 is: 149.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.78 : 252.14 = 99.34 : x
  2. Step 2: Convert to fraction form
    167.78/252.14 = 99.34/x
  3. Step 3: Cross multiply
    167.78x = 252.14 × 99.34
  4. Step 4: Simplify right side
    167.78x = 25,047.21
  5. Step 5: Solve for x
    x = 25,047.21/167.78
  6. Step 6: Final answer
    x = 149.28

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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.