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Finding the Fourth Proportional to 209.25, 314.01 and 185.49

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Solution

The fourth proportional to 209.25, 314.01 and 185.49 is: 278.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.25 : 314.01 = 185.49 : x
  2. Step 2: Convert to fraction form
    209.25/314.01 = 185.49/x
  3. Step 3: Cross multiply
    209.25x = 314.01 × 185.49
  4. Step 4: Simplify right side
    209.25x = 58,245.71
  5. Step 5: Solve for x
    x = 58,245.71/209.25
  6. Step 6: Final answer
    x = 278.35

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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.