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Finding the Fourth Proportional to 207.74, 312.33 and 167.45

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Solution

The fourth proportional to 207.74, 312.33 and 167.45 is: 251.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.74 : 312.33 = 167.45 : x
  2. Step 2: Convert to fraction form
    207.74/312.33 = 167.45/x
  3. Step 3: Cross multiply
    207.74x = 312.33 × 167.45
  4. Step 4: Simplify right side
    207.74x = 52,299.66
  5. Step 5: Solve for x
    x = 52,299.66/207.74
  6. Step 6: Final answer
    x = 251.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.