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Finding the Fourth Proportional to 330.08, 495.57 and 167.88

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Solution

The fourth proportional to 330.08, 495.57 and 167.88 is: 252.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.08 : 495.57 = 167.88 : x
  2. Step 2: Convert to fraction form
    330.08/495.57 = 167.88/x
  3. Step 3: Cross multiply
    330.08x = 495.57 × 167.88
  4. Step 4: Simplify right side
    330.08x = 83,196.29
  5. Step 5: Solve for x
    x = 83,196.29/330.08
  6. Step 6: Final answer
    x = 252.05

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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.