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Finding the Fourth Proportional to 247.54, 341.67 and 167.80

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Solution

The fourth proportional to 247.54, 341.67 and 167.80 is: 231.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.54 : 341.67 = 167.80 : x
  2. Step 2: Convert to fraction form
    247.54/341.67 = 167.80/x
  3. Step 3: Cross multiply
    247.54x = 341.67 × 167.80
  4. Step 4: Simplify right side
    247.54x = 57,332.23
  5. Step 5: Solve for x
    x = 57,332.23/247.54
  6. Step 6: Final answer
    x = 231.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.