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Finding the Fourth Proportional to 330.38, 494.94 and 176.08

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Solution

The fourth proportional to 330.38, 494.94 and 176.08 is: 263.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.38 : 494.94 = 176.08 : x
  2. Step 2: Convert to fraction form
    330.38/494.94 = 176.08/x
  3. Step 3: Cross multiply
    330.38x = 494.94 × 176.08
  4. Step 4: Simplify right side
    330.38x = 87,149.04
  5. Step 5: Solve for x
    x = 87,149.04/330.38
  6. Step 6: Final answer
    x = 263.78

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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.