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Finding the Fourth Proportional to 209.96, 314.60 and 198.40

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Solution

The fourth proportional to 209.96, 314.60 and 198.40 is: 297.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.96 : 314.60 = 198.40 : x
  2. Step 2: Convert to fraction form
    209.96/314.60 = 198.40/x
  3. Step 3: Cross multiply
    209.96x = 314.60 × 198.40
  4. Step 4: Simplify right side
    209.96x = 62,416.64
  5. Step 5: Solve for x
    x = 62,416.64/209.96
  6. Step 6: Final answer
    x = 297.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.