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Finding the Fourth Proportional to 277.29, 416.21 and 226.56

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Solution

The fourth proportional to 277.29, 416.21 and 226.56 is: 340.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.29 : 416.21 = 226.56 : x
  2. Step 2: Convert to fraction form
    277.29/416.21 = 226.56/x
  3. Step 3: Cross multiply
    277.29x = 416.21 × 226.56
  4. Step 4: Simplify right side
    277.29x = 94,295.40
  5. Step 5: Solve for x
    x = 94,295.40/277.29
  6. Step 6: Final answer
    x = 340.06

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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.