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Finding the Fourth Proportional to 283.07, 424.82 and 161.42

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Solution

The fourth proportional to 283.07, 424.82 and 161.42 is: 242.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.07 : 424.82 = 161.42 : x
  2. Step 2: Convert to fraction form
    283.07/424.82 = 161.42/x
  3. Step 3: Cross multiply
    283.07x = 424.82 × 161.42
  4. Step 4: Simplify right side
    283.07x = 68,572.72
  5. Step 5: Solve for x
    x = 68,572.72/283.07
  6. Step 6: Final answer
    x = 242.24

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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.