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Finding the Fourth Proportional to 209.99, 314.82 and 185.29

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Solution

The fourth proportional to 209.99, 314.82 and 185.29 is: 277.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.99 : 314.82 = 185.29 : x
  2. Step 2: Convert to fraction form
    209.99/314.82 = 185.29/x
  3. Step 3: Cross multiply
    209.99x = 314.82 × 185.29
  4. Step 4: Simplify right side
    209.99x = 58,332.21
  5. Step 5: Solve for x
    x = 58,332.21/209.99
  6. Step 6: Final answer
    x = 277.78

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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.