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Finding the Fourth Proportional to 381.24, 526.12 and 213.20

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Solution

The fourth proportional to 381.24, 526.12 and 213.20 is: 294.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.24 : 526.12 = 213.20 : x
  2. Step 2: Convert to fraction form
    381.24/526.12 = 213.20/x
  3. Step 3: Cross multiply
    381.24x = 526.12 × 213.20
  4. Step 4: Simplify right side
    381.24x = 112,165.62
  5. Step 5: Solve for x
    x = 112,165.62/381.24
  6. Step 6: Final answer
    x = 294.21

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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.