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Finding the Fourth Proportional to 209.36, 313.82 and 136.14

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Solution

The fourth proportional to 209.36, 313.82 and 136.14 is: 204.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.36 : 313.82 = 136.14 : x
  2. Step 2: Convert to fraction form
    209.36/313.82 = 136.14/x
  3. Step 3: Cross multiply
    209.36x = 313.82 × 136.14
  4. Step 4: Simplify right side
    209.36x = 42,722.77
  5. Step 5: Solve for x
    x = 42,722.77/209.36
  6. Step 6: Final answer
    x = 204.07

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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.