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Finding the Fourth Proportional to 320.29, 480.09 and 166.06

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Solution

The fourth proportional to 320.29, 480.09 and 166.06 is: 248.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.29 : 480.09 = 166.06 : x
  2. Step 2: Convert to fraction form
    320.29/480.09 = 166.06/x
  3. Step 3: Cross multiply
    320.29x = 480.09 × 166.06
  4. Step 4: Simplify right side
    320.29x = 79,724.97
  5. Step 5: Solve for x
    x = 79,724.97/320.29
  6. Step 6: Final answer
    x = 248.91

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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.