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Finding the Fourth Proportional to 287.85, 397.17 and 163.52

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Solution

The fourth proportional to 287.85, 397.17 and 163.52 is: 225.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.85 : 397.17 = 163.52 : x
  2. Step 2: Convert to fraction form
    287.85/397.17 = 163.52/x
  3. Step 3: Cross multiply
    287.85x = 397.17 × 163.52
  4. Step 4: Simplify right side
    287.85x = 64,945.24
  5. Step 5: Solve for x
    x = 64,945.24/287.85
  6. Step 6: Final answer
    x = 225.62

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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.