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Finding the Fourth Proportional to 226.90, 313.05 and 201.70

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Solution

The fourth proportional to 226.90, 313.05 and 201.70 is: 278.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.90 : 313.05 = 201.70 : x
  2. Step 2: Convert to fraction form
    226.90/313.05 = 201.70/x
  3. Step 3: Cross multiply
    226.90x = 313.05 × 201.70
  4. Step 4: Simplify right side
    226.90x = 63,142.19
  5. Step 5: Solve for x
    x = 63,142.19/226.90
  6. Step 6: Final answer
    x = 278.28

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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.