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Finding the Fourth Proportional to 209.05, 313.12 and 127.65

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Solution

The fourth proportional to 209.05, 313.12 and 127.65 is: 191.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.05 : 313.12 = 127.65 : x
  2. Step 2: Convert to fraction form
    209.05/313.12 = 127.65/x
  3. Step 3: Cross multiply
    209.05x = 313.12 × 127.65
  4. Step 4: Simplify right side
    209.05x = 39,968.75
  5. Step 5: Solve for x
    x = 39,968.75/209.05
  6. Step 6: Final answer
    x = 191.19

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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.