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Finding the Fourth Proportional to 329.46, 493.95 and 167.06

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Solution

The fourth proportional to 329.46, 493.95 and 167.06 is: 250.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.46 : 493.95 = 167.06 : x
  2. Step 2: Convert to fraction form
    329.46/493.95 = 167.06/x
  3. Step 3: Cross multiply
    329.46x = 493.95 × 167.06
  4. Step 4: Simplify right side
    329.46x = 82,519.29
  5. Step 5: Solve for x
    x = 82,519.29/329.46
  6. Step 6: Final answer
    x = 250.47

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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.