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Finding the Fourth Proportional to 167.76, 250.56 and 149.40

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Solution

The fourth proportional to 167.76, 250.56 and 149.40 is: 223.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.76 : 250.56 = 149.40 : x
  2. Step 2: Convert to fraction form
    167.76/250.56 = 149.40/x
  3. Step 3: Cross multiply
    167.76x = 250.56 × 149.40
  4. Step 4: Simplify right side
    167.76x = 37,433.66
  5. Step 5: Solve for x
    x = 37,433.66/167.76
  6. Step 6: Final answer
    x = 223.14

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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.