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Finding the Fourth Proportional to 185.52, 254.94 and 167.28

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Solution

The fourth proportional to 185.52, 254.94 and 167.28 is: 229.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.52 : 254.94 = 167.28 : x
  2. Step 2: Convert to fraction form
    185.52/254.94 = 167.28/x
  3. Step 3: Cross multiply
    185.52x = 254.94 × 167.28
  4. Step 4: Simplify right side
    185.52x = 42,646.36
  5. Step 5: Solve for x
    x = 42,646.36/185.52
  6. Step 6: Final answer
    x = 229.87

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.