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Finding the Fourth Proportional to 320.38, 442.08 and 180.48

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Solution

The fourth proportional to 320.38, 442.08 and 180.48 is: 249.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.38 : 442.08 = 180.48 : x
  2. Step 2: Convert to fraction form
    320.38/442.08 = 180.48/x
  3. Step 3: Cross multiply
    320.38x = 442.08 × 180.48
  4. Step 4: Simplify right side
    320.38x = 79,786.60
  5. Step 5: Solve for x
    x = 79,786.60/320.38
  6. Step 6: Final answer
    x = 249.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.