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Finding the Fourth Proportional to 381.67, 526.71 and 226.42

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Solution

The fourth proportional to 381.67, 526.71 and 226.42 is: 312.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.67 : 526.71 = 226.42 : x
  2. Step 2: Convert to fraction form
    381.67/526.71 = 226.42/x
  3. Step 3: Cross multiply
    381.67x = 526.71 × 226.42
  4. Step 4: Simplify right side
    381.67x = 119,257.68
  5. Step 5: Solve for x
    x = 119,257.68/381.67
  6. Step 6: Final answer
    x = 312.46

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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.