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Finding the Fourth Proportional to 283.68, 425.76 and 195.78

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Solution

The fourth proportional to 283.68, 425.76 and 195.78 is: 293.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.68 : 425.76 = 195.78 : x
  2. Step 2: Convert to fraction form
    283.68/425.76 = 195.78/x
  3. Step 3: Cross multiply
    283.68x = 425.76 × 195.78
  4. Step 4: Simplify right side
    283.68x = 83,355.29
  5. Step 5: Solve for x
    x = 83,355.29/283.68
  6. Step 6: Final answer
    x = 293.84

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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.