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Finding the Fourth Proportional to 283.79, 425.16 and 197.18

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Solution

The fourth proportional to 283.79, 425.16 and 197.18 is: 295.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.79 : 425.16 = 197.18 : x
  2. Step 2: Convert to fraction form
    283.79/425.16 = 197.18/x
  3. Step 3: Cross multiply
    283.79x = 425.16 × 197.18
  4. Step 4: Simplify right side
    283.79x = 83,833.05
  5. Step 5: Solve for x
    x = 83,833.05/283.79
  6. Step 6: Final answer
    x = 295.41

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