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Finding the Fourth Proportional to 167.34, 249.69 and 149.07

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Solution

The fourth proportional to 167.34, 249.69 and 149.07 is: 222.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.34 : 249.69 = 149.07 : x
  2. Step 2: Convert to fraction form
    167.34/249.69 = 149.07/x
  3. Step 3: Cross multiply
    167.34x = 249.69 × 149.07
  4. Step 4: Simplify right side
    167.34x = 37,219.29
  5. Step 5: Solve for x
    x = 37,219.29/167.34
  6. Step 6: Final answer
    x = 222.42

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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.