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Finding the Fourth Proportional to 283.45, 425.38 and 100.85

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Solution

The fourth proportional to 283.45, 425.38 and 100.85 is: 151.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.45 : 425.38 = 100.85 : x
  2. Step 2: Convert to fraction form
    283.45/425.38 = 100.85/x
  3. Step 3: Cross multiply
    283.45x = 425.38 × 100.85
  4. Step 4: Simplify right side
    283.45x = 42,897.45
  5. Step 5: Solve for x
    x = 42,897.45/283.45
  6. Step 6: Final answer
    x = 151.34

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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.