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Finding the Fourth Proportional to 209.75, 314.83 and 87.98

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Solution

The fourth proportional to 209.75, 314.83 and 87.98 is: 132.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.75 : 314.83 = 87.98 : x
  2. Step 2: Convert to fraction form
    209.75/314.83 = 87.98/x
  3. Step 3: Cross multiply
    209.75x = 314.83 × 87.98
  4. Step 4: Simplify right side
    209.75x = 27,698.30
  5. Step 5: Solve for x
    x = 27,698.30/209.75
  6. Step 6: Final answer
    x = 132.05

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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.