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Finding the Fourth Proportional to 209.82, 313.93 and 127.58

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Solution

The fourth proportional to 209.82, 313.93 and 127.58 is: 190.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.82 : 313.93 = 127.58 : x
  2. Step 2: Convert to fraction form
    209.82/313.93 = 127.58/x
  3. Step 3: Cross multiply
    209.82x = 313.93 × 127.58
  4. Step 4: Simplify right side
    209.82x = 40,049.06
  5. Step 5: Solve for x
    x = 40,049.06/209.82
  6. Step 6: Final answer
    x = 190.88

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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.