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Finding the Fourth Proportional to 209.51, 314 and 127.28

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Solution

The fourth proportional to 209.51, 314 and 127.28 is: 190.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.51 : 314 = 127.28 : x
  2. Step 2: Convert to fraction form
    209.51/314 = 127.28/x
  3. Step 3: Cross multiply
    209.51x = 314 × 127.28
  4. Step 4: Simplify right side
    209.51x = 39,965.92
  5. Step 5: Solve for x
    x = 39,965.92/209.51
  6. Step 6: Final answer
    x = 190.76

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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.