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Finding the Fourth Proportional to 283.50, 424.71 and 167.99

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Solution

The fourth proportional to 283.50, 424.71 and 167.99 is: 251.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.50 : 424.71 = 167.99 : x
  2. Step 2: Convert to fraction form
    283.50/424.71 = 167.99/x
  3. Step 3: Cross multiply
    283.50x = 424.71 × 167.99
  4. Step 4: Simplify right side
    283.50x = 71,344.91
  5. Step 5: Solve for x
    x = 71,344.91/283.50
  6. Step 6: Final answer
    x = 251.66

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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.