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Finding the Fourth Proportional to 209.44, 312.26 and 191.01

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Solution

The fourth proportional to 209.44, 312.26 and 191.01 is: 284.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.44 : 312.26 = 191.01 : x
  2. Step 2: Convert to fraction form
    209.44/312.26 = 191.01/x
  3. Step 3: Cross multiply
    209.44x = 312.26 × 191.01
  4. Step 4: Simplify right side
    209.44x = 59,644.78
  5. Step 5: Solve for x
    x = 59,644.78/209.44
  6. Step 6: Final answer
    x = 284.78

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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.