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Finding the Fourth Proportional to 552.25, 828.39 and 167.50

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Solution

The fourth proportional to 552.25, 828.39 and 167.50 is: 251.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.25 : 828.39 = 167.50 : x
  2. Step 2: Convert to fraction form
    552.25/828.39 = 167.50/x
  3. Step 3: Cross multiply
    552.25x = 828.39 × 167.50
  4. Step 4: Simplify right side
    552.25x = 138,755.33
  5. Step 5: Solve for x
    x = 138,755.33/552.25
  6. Step 6: Final answer
    x = 251.25

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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.