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Finding the Fourth Proportional to 330.48, 496.05 and 166.07

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Solution

The fourth proportional to 330.48, 496.05 and 166.07 is: 249.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.48 : 496.05 = 166.07 : x
  2. Step 2: Convert to fraction form
    330.48/496.05 = 166.07/x
  3. Step 3: Cross multiply
    330.48x = 496.05 × 166.07
  4. Step 4: Simplify right side
    330.48x = 82,376.54
  5. Step 5: Solve for x
    x = 82,376.54/330.48
  6. Step 6: Final answer
    x = 249.26

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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.