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Finding the Fourth Proportional to 381.82, 526.92 and 226.60

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Solution

The fourth proportional to 381.82, 526.92 and 226.60 is: 312.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.82 : 526.92 = 226.60 : x
  2. Step 2: Convert to fraction form
    381.82/526.92 = 226.60/x
  3. Step 3: Cross multiply
    381.82x = 526.92 × 226.60
  4. Step 4: Simplify right side
    381.82x = 119,400.07
  5. Step 5: Solve for x
    x = 119,400.07/381.82
  6. Step 6: Final answer
    x = 312.71

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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.