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Finding the Fourth Proportional to 209.60, 314.67 and 132.35

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Solution

The fourth proportional to 209.60, 314.67 and 132.35 is: 198.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.60 : 314.67 = 132.35 : x
  2. Step 2: Convert to fraction form
    209.60/314.67 = 132.35/x
  3. Step 3: Cross multiply
    209.60x = 314.67 × 132.35
  4. Step 4: Simplify right side
    209.60x = 41,646.57
  5. Step 5: Solve for x
    x = 41,646.57/209.60
  6. Step 6: Final answer
    x = 198.70

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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.