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Finding the Fourth Proportional to 209.87, 314.82 and 65.57

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Solution

The fourth proportional to 209.87, 314.82 and 65.57 is: 98.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.87 : 314.82 = 65.57 : x
  2. Step 2: Convert to fraction form
    209.87/314.82 = 65.57/x
  3. Step 3: Cross multiply
    209.87x = 314.82 × 65.57
  4. Step 4: Simplify right side
    209.87x = 20,642.75
  5. Step 5: Solve for x
    x = 20,642.75/209.87
  6. Step 6: Final answer
    x = 98.36

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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.