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Finding the Fourth Proportional to 167.34, 249.68 and 146.82

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Solution

The fourth proportional to 167.34, 249.68 and 146.82 is: 219.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.34 : 249.68 = 146.82 : x
  2. Step 2: Convert to fraction form
    167.34/249.68 = 146.82/x
  3. Step 3: Cross multiply
    167.34x = 249.68 × 146.82
  4. Step 4: Simplify right side
    167.34x = 36,658.02
  5. Step 5: Solve for x
    x = 36,658.02/167.34
  6. Step 6: Final answer
    x = 219.06

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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.