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Finding the Fourth Proportional to 209.16, 311.58 and 195.87

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Solution

The fourth proportional to 209.16, 311.58 and 195.87 is: 291.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.16 : 311.58 = 195.87 : x
  2. Step 2: Convert to fraction form
    209.16/311.58 = 195.87/x
  3. Step 3: Cross multiply
    209.16x = 311.58 × 195.87
  4. Step 4: Simplify right side
    209.16x = 61,029.17
  5. Step 5: Solve for x
    x = 61,029.17/209.16
  6. Step 6: Final answer
    x = 291.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.