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Finding the Fourth Proportional to 287.76, 397.14 and 163.42

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Solution

The fourth proportional to 287.76, 397.14 and 163.42 is: 225.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.76 : 397.14 = 163.42 : x
  2. Step 2: Convert to fraction form
    287.76/397.14 = 163.42/x
  3. Step 3: Cross multiply
    287.76x = 397.14 × 163.42
  4. Step 4: Simplify right side
    287.76x = 64,900.62
  5. Step 5: Solve for x
    x = 64,900.62/287.76
  6. Step 6: Final answer
    x = 225.54

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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.