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Finding the Fourth Proportional to 287.28, 396.46 and 170.80

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Solution

The fourth proportional to 287.28, 396.46 and 170.80 is: 235.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.28 : 396.46 = 170.80 : x
  2. Step 2: Convert to fraction form
    287.28/396.46 = 170.80/x
  3. Step 3: Cross multiply
    287.28x = 396.46 × 170.80
  4. Step 4: Simplify right side
    287.28x = 67,715.37
  5. Step 5: Solve for x
    x = 67,715.37/287.28
  6. Step 6: Final answer
    x = 235.71

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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.