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Finding the Fourth Proportional to 226.84, 313.14 and 200.92

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Solution

The fourth proportional to 226.84, 313.14 and 200.92 is: 277.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.84 : 313.14 = 200.92 : x
  2. Step 2: Convert to fraction form
    226.84/313.14 = 200.92/x
  3. Step 3: Cross multiply
    226.84x = 313.14 × 200.92
  4. Step 4: Simplify right side
    226.84x = 62,916.09
  5. Step 5: Solve for x
    x = 62,916.09/226.84
  6. Step 6: Final answer
    x = 277.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.