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Finding the Fourth Proportional to 225.70, 338.16 and 167.80

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Solution

The fourth proportional to 225.70, 338.16 and 167.80 is: 251.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.70 : 338.16 = 167.80 : x
  2. Step 2: Convert to fraction form
    225.70/338.16 = 167.80/x
  3. Step 3: Cross multiply
    225.70x = 338.16 × 167.80
  4. Step 4: Simplify right side
    225.70x = 56,743.25
  5. Step 5: Solve for x
    x = 56,743.25/225.70
  6. Step 6: Final answer
    x = 251.41

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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.