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Finding the Fourth Proportional to 283.14, 424.81 and 167.72

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Solution

The fourth proportional to 283.14, 424.81 and 167.72 is: 251.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.14 : 424.81 = 167.72 : x
  2. Step 2: Convert to fraction form
    283.14/424.81 = 167.72/x
  3. Step 3: Cross multiply
    283.14x = 424.81 × 167.72
  4. Step 4: Simplify right side
    283.14x = 71,247.22
  5. Step 5: Solve for x
    x = 71,247.22/283.14
  6. Step 6: Final answer
    x = 251.63

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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.