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Finding the Fourth Proportional to 381.14, 526.02 and 223.86

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Solution

The fourth proportional to 381.14, 526.02 and 223.86 is: 308.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.14 : 526.02 = 223.86 : x
  2. Step 2: Convert to fraction form
    381.14/526.02 = 223.86/x
  3. Step 3: Cross multiply
    381.14x = 526.02 × 223.86
  4. Step 4: Simplify right side
    381.14x = 117,754.84
  5. Step 5: Solve for x
    x = 117,754.84/381.14
  6. Step 6: Final answer
    x = 308.95

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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.