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Finding the Fourth Proportional to 209.84, 314.37 and 113.42

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Solution

The fourth proportional to 209.84, 314.37 and 113.42 is: 169.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.84 : 314.37 = 113.42 : x
  2. Step 2: Convert to fraction form
    209.84/314.37 = 113.42/x
  3. Step 3: Cross multiply
    209.84x = 314.37 × 113.42
  4. Step 4: Simplify right side
    209.84x = 35,655.85
  5. Step 5: Solve for x
    x = 35,655.85/209.84
  6. Step 6: Final answer
    x = 169.92

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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.