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Finding the Fourth Proportional to 283.71, 425.43 and 161.76

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Solution

The fourth proportional to 283.71, 425.43 and 161.76 is: 242.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.71 : 425.43 = 161.76 : x
  2. Step 2: Convert to fraction form
    283.71/425.43 = 161.76/x
  3. Step 3: Cross multiply
    283.71x = 425.43 × 161.76
  4. Step 4: Simplify right side
    283.71x = 68,817.56
  5. Step 5: Solve for x
    x = 68,817.56/283.71
  6. Step 6: Final answer
    x = 242.56

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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.