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Finding the Fourth Proportional to 319.96, 478.86 and 198.52

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Solution

The fourth proportional to 319.96, 478.86 and 198.52 is: 297.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.96 : 478.86 = 198.52 : x
  2. Step 2: Convert to fraction form
    319.96/478.86 = 198.52/x
  3. Step 3: Cross multiply
    319.96x = 478.86 × 198.52
  4. Step 4: Simplify right side
    319.96x = 95,063.29
  5. Step 5: Solve for x
    x = 95,063.29/319.96
  6. Step 6: Final answer
    x = 297.11

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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.