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Finding the Fourth Proportional to 167.81, 252.19 and 99.35

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Solution

The fourth proportional to 167.81, 252.19 and 99.35 is: 149.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.81 : 252.19 = 99.35 : x
  2. Step 2: Convert to fraction form
    167.81/252.19 = 99.35/x
  3. Step 3: Cross multiply
    167.81x = 252.19 × 99.35
  4. Step 4: Simplify right side
    167.81x = 25,053.82
  5. Step 5: Solve for x
    x = 25,053.82/167.81
  6. Step 6: Final answer
    x = 149.30

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