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Finding the Fourth Proportional to 330.68, 495.36 and 167.84

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Solution

The fourth proportional to 330.68, 495.36 and 167.84 is: 251.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.68 : 495.36 = 167.84 : x
  2. Step 2: Convert to fraction form
    330.68/495.36 = 167.84/x
  3. Step 3: Cross multiply
    330.68x = 495.36 × 167.84
  4. Step 4: Simplify right side
    330.68x = 83,141.22
  5. Step 5: Solve for x
    x = 83,141.22/330.68
  6. Step 6: Final answer
    x = 251.43

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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.