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Finding the Fourth Proportional to 277.28, 416.19 and 226.52

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Solution

The fourth proportional to 277.28, 416.19 and 226.52 is: 340.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.28 : 416.19 = 226.52 : x
  2. Step 2: Convert to fraction form
    277.28/416.19 = 226.52/x
  3. Step 3: Cross multiply
    277.28x = 416.19 × 226.52
  4. Step 4: Simplify right side
    277.28x = 94,275.36
  5. Step 5: Solve for x
    x = 94,275.36/277.28
  6. Step 6: Final answer
    x = 340.00

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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.