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Finding the Fourth Proportional to 257.07, 355.11 and 226.11

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Solution

The fourth proportional to 257.07, 355.11 and 226.11 is: 312.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.07 : 355.11 = 226.11 : x
  2. Step 2: Convert to fraction form
    257.07/355.11 = 226.11/x
  3. Step 3: Cross multiply
    257.07x = 355.11 × 226.11
  4. Step 4: Simplify right side
    257.07x = 80,293.92
  5. Step 5: Solve for x
    x = 80,293.92/257.07
  6. Step 6: Final answer
    x = 312.34

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Why These Related Problems?

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