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Finding the Fourth Proportional to 209.34, 314.00 and 198.41

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Solution

The fourth proportional to 209.34, 314.00 and 198.41 is: 297.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.34 : 314.00 = 198.41 : x
  2. Step 2: Convert to fraction form
    209.34/314.00 = 198.41/x
  3. Step 3: Cross multiply
    209.34x = 314.00 × 198.41
  4. Step 4: Simplify right side
    209.34x = 62,298.18
  5. Step 5: Solve for x
    x = 62,298.18/209.34
  6. Step 6: Final answer
    x = 297.59

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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.