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Finding the Fourth Proportional to 319.76, 480.32 and 198.12

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Solution

The fourth proportional to 319.76, 480.32 and 198.12 is: 297.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.76 : 480.32 = 198.12 : x
  2. Step 2: Convert to fraction form
    319.76/480.32 = 198.12/x
  3. Step 3: Cross multiply
    319.76x = 480.32 × 198.12
  4. Step 4: Simplify right side
    319.76x = 95,161.00
  5. Step 5: Solve for x
    x = 95,161.00/319.76
  6. Step 6: Final answer
    x = 297.60

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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.