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Finding the Fourth Proportional to 283.59, 425.37 and 161.78

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Solution

The fourth proportional to 283.59, 425.37 and 161.78 is: 242.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.59 : 425.37 = 161.78 : x
  2. Step 2: Convert to fraction form
    283.59/425.37 = 161.78/x
  3. Step 3: Cross multiply
    283.59x = 425.37 × 161.78
  4. Step 4: Simplify right side
    283.59x = 68,814.23
  5. Step 5: Solve for x
    x = 68,814.23/283.59
  6. Step 6: Final answer
    x = 242.65

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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.