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Finding the Fourth Proportional to 287.14, 396.25 and 169.11

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Solution

The fourth proportional to 287.14, 396.25 and 169.11 is: 233.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.14 : 396.25 = 169.11 : x
  2. Step 2: Convert to fraction form
    287.14/396.25 = 169.11/x
  3. Step 3: Cross multiply
    287.14x = 396.25 × 169.11
  4. Step 4: Simplify right side
    287.14x = 67,009.41
  5. Step 5: Solve for x
    x = 67,009.41/287.14
  6. Step 6: Final answer
    x = 233.37

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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.