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Finding the Fourth Proportional to 209.44, 314.08 and 79.42

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Solution

The fourth proportional to 209.44, 314.08 and 79.42 is: 119.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.44 : 314.08 = 79.42 : x
  2. Step 2: Convert to fraction form
    209.44/314.08 = 79.42/x
  3. Step 3: Cross multiply
    209.44x = 314.08 × 79.42
  4. Step 4: Simplify right side
    209.44x = 24,944.23
  5. Step 5: Solve for x
    x = 24,944.23/209.44
  6. Step 6: Final answer
    x = 119.10

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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.