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Finding the Fourth Proportional to 209.48, 314.08 and 113.36

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Solution

The fourth proportional to 209.48, 314.08 and 113.36 is: 169.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.48 : 314.08 = 113.36 : x
  2. Step 2: Convert to fraction form
    209.48/314.08 = 113.36/x
  3. Step 3: Cross multiply
    209.48x = 314.08 × 113.36
  4. Step 4: Simplify right side
    209.48x = 35,604.11
  5. Step 5: Solve for x
    x = 35,604.11/209.48
  6. Step 6: Final answer
    x = 169.96

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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.