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Finding the Fourth Proportional to 330.36, 495.75 and 167.96

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Solution

The fourth proportional to 330.36, 495.75 and 167.96 is: 252.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.36 : 495.75 = 167.96 : x
  2. Step 2: Convert to fraction form
    330.36/495.75 = 167.96/x
  3. Step 3: Cross multiply
    330.36x = 495.75 × 167.96
  4. Step 4: Simplify right side
    330.36x = 83,263.69
  5. Step 5: Solve for x
    x = 83,263.69/330.36
  6. Step 6: Final answer
    x = 252.04

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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.