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Finding the Fourth Proportional to 167.88, 250.40 and 147.36

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Solution

The fourth proportional to 167.88, 250.40 and 147.36 is: 219.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.88 : 250.40 = 147.36 : x
  2. Step 2: Convert to fraction form
    167.88/250.40 = 147.36/x
  3. Step 3: Cross multiply
    167.88x = 250.40 × 147.36
  4. Step 4: Simplify right side
    167.88x = 36,898.21
  5. Step 5: Solve for x
    x = 36,898.21/167.88
  6. Step 6: Final answer
    x = 219.79

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.