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Finding the Fourth Proportional to 209.78, 314.06 and 194.59

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Solution

The fourth proportional to 209.78, 314.06 and 194.59 is: 291.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.78 : 314.06 = 194.59 : x
  2. Step 2: Convert to fraction form
    209.78/314.06 = 194.59/x
  3. Step 3: Cross multiply
    209.78x = 314.06 × 194.59
  4. Step 4: Simplify right side
    209.78x = 61,112.94
  5. Step 5: Solve for x
    x = 61,112.94/209.78
  6. Step 6: Final answer
    x = 291.32

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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.