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Finding the Fourth Proportional to 329.34, 493.81 and 167.14

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Solution

The fourth proportional to 329.34, 493.81 and 167.14 is: 250.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.34 : 493.81 = 167.14 : x
  2. Step 2: Convert to fraction form
    329.34/493.81 = 167.14/x
  3. Step 3: Cross multiply
    329.34x = 493.81 × 167.14
  4. Step 4: Simplify right side
    329.34x = 82,533.75
  5. Step 5: Solve for x
    x = 82,533.75/329.34
  6. Step 6: Final answer
    x = 250.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.