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Finding the Fourth Proportional to 283.97, 425.68 and 101.27

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Solution

The fourth proportional to 283.97, 425.68 and 101.27 is: 151.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.97 : 425.68 = 101.27 : x
  2. Step 2: Convert to fraction form
    283.97/425.68 = 101.27/x
  3. Step 3: Cross multiply
    283.97x = 425.68 × 101.27
  4. Step 4: Simplify right side
    283.97x = 43,106.49
  5. Step 5: Solve for x
    x = 43,106.49/283.97
  6. Step 6: Final answer
    x = 151.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.