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Finding the Fourth Proportional to 209.52, 313.68 and 198.12

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Solution

The fourth proportional to 209.52, 313.68 and 198.12 is: 296.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.52 : 313.68 = 198.12 : x
  2. Step 2: Convert to fraction form
    209.52/313.68 = 198.12/x
  3. Step 3: Cross multiply
    209.52x = 313.68 × 198.12
  4. Step 4: Simplify right side
    209.52x = 62,146.28
  5. Step 5: Solve for x
    x = 62,146.28/209.52
  6. Step 6: Final answer
    x = 296.61

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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.