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Finding the Fourth Proportional to 283.39, 425.08 and 77.95

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Solution

The fourth proportional to 283.39, 425.08 and 77.95 is: 116.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.39 : 425.08 = 77.95 : x
  2. Step 2: Convert to fraction form
    283.39/425.08 = 77.95/x
  3. Step 3: Cross multiply
    283.39x = 425.08 × 77.95
  4. Step 4: Simplify right side
    283.39x = 33,134.99
  5. Step 5: Solve for x
    x = 33,134.99/283.39
  6. Step 6: Final answer
    x = 116.92

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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.