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Finding the Fourth Proportional to 209.87, 314.80 and 55.79

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Solution

The fourth proportional to 209.87, 314.80 and 55.79 is: 83.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.87 : 314.80 = 55.79 : x
  2. Step 2: Convert to fraction form
    209.87/314.80 = 55.79/x
  3. Step 3: Cross multiply
    209.87x = 314.80 × 55.79
  4. Step 4: Simplify right side
    209.87x = 17,560.98
  5. Step 5: Solve for x
    x = 17,560.98/209.87
  6. Step 6: Final answer
    x = 83.68

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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.