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Finding the Fourth Proportional to 207.37, 311.76 and 167.07

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Solution

The fourth proportional to 207.37, 311.76 and 167.07 is: 251.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.37 : 311.76 = 167.07 : x
  2. Step 2: Convert to fraction form
    207.37/311.76 = 167.07/x
  3. Step 3: Cross multiply
    207.37x = 311.76 × 167.07
  4. Step 4: Simplify right side
    207.37x = 52,085.74
  5. Step 5: Solve for x
    x = 52,085.74/207.37
  6. Step 6: Final answer
    x = 251.18

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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.