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Finding the Fourth Proportional to 283.92, 425.76 and 101.22

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Solution

The fourth proportional to 283.92, 425.76 and 101.22 is: 151.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.92 : 425.76 = 101.22 : x
  2. Step 2: Convert to fraction form
    283.92/425.76 = 101.22/x
  3. Step 3: Cross multiply
    283.92x = 425.76 × 101.22
  4. Step 4: Simplify right side
    283.92x = 43,095.43
  5. Step 5: Solve for x
    x = 43,095.43/283.92
  6. Step 6: Final answer
    x = 151.79

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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.