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Finding the Fourth Proportional to 287.47, 396.68 and 163.14

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Solution

The fourth proportional to 287.47, 396.68 and 163.14 is: 225.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.47 : 396.68 = 163.14 : x
  2. Step 2: Convert to fraction form
    287.47/396.68 = 163.14/x
  3. Step 3: Cross multiply
    287.47x = 396.68 × 163.14
  4. Step 4: Simplify right side
    287.47x = 64,712.80
  5. Step 5: Solve for x
    x = 64,712.80/287.47
  6. Step 6: Final answer
    x = 225.11

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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.