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Finding the Fourth Proportional to 320.24, 480.38 and 198.14

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Solution

The fourth proportional to 320.24, 480.38 and 198.14 is: 297.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.24 : 480.38 = 198.14 : x
  2. Step 2: Convert to fraction form
    320.24/480.38 = 198.14/x
  3. Step 3: Cross multiply
    320.24x = 480.38 × 198.14
  4. Step 4: Simplify right side
    320.24x = 95,179.10
  5. Step 5: Solve for x
    x = 95,179.10/320.24
  6. Step 6: Final answer
    x = 297.21

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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.