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Finding the Fourth Proportional to 167.66, 252.76 and 158.84

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Solution

The fourth proportional to 167.66, 252.76 and 158.84 is: 239.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.66 : 252.76 = 158.84 : x
  2. Step 2: Convert to fraction form
    167.66/252.76 = 158.84/x
  3. Step 3: Cross multiply
    167.66x = 252.76 × 158.84
  4. Step 4: Simplify right side
    167.66x = 40,148.40
  5. Step 5: Solve for x
    x = 40,148.40/167.66
  6. Step 6: Final answer
    x = 239.46

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.