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Finding the Fourth Proportional to 167.16, 249.42 and 147.72

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Solution

The fourth proportional to 167.16, 249.42 and 147.72 is: 220.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.16 : 249.42 = 147.72 : x
  2. Step 2: Convert to fraction form
    167.16/249.42 = 147.72/x
  3. Step 3: Cross multiply
    167.16x = 249.42 × 147.72
  4. Step 4: Simplify right side
    167.16x = 36,844.32
  5. Step 5: Solve for x
    x = 36,844.32/167.16
  6. Step 6: Final answer
    x = 220.41

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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.