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Finding the Fourth Proportional to 167.85, 250.44 and 147.60

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Solution

The fourth proportional to 167.85, 250.44 and 147.60 is: 220.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.85 : 250.44 = 147.60 : x
  2. Step 2: Convert to fraction form
    167.85/250.44 = 147.60/x
  3. Step 3: Cross multiply
    167.85x = 250.44 × 147.60
  4. Step 4: Simplify right side
    167.85x = 36,964.94
  5. Step 5: Solve for x
    x = 36,964.94/167.85
  6. Step 6: Final answer
    x = 220.23

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Why These Related Problems?

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