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Finding the Fourth Proportional to 283.66, 424.80 and 161.55

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Solution

The fourth proportional to 283.66, 424.80 and 161.55 is: 241.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.66 : 424.80 = 161.55 : x
  2. Step 2: Convert to fraction form
    283.66/424.80 = 161.55/x
  3. Step 3: Cross multiply
    283.66x = 424.80 × 161.55
  4. Step 4: Simplify right side
    283.66x = 68,626.44
  5. Step 5: Solve for x
    x = 68,626.44/283.66
  6. Step 6: Final answer
    x = 241.93

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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.