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Finding the Fourth Proportional to 381.21, 526.03 and 213.15

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Solution

The fourth proportional to 381.21, 526.03 and 213.15 is: 294.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.21 : 526.03 = 213.15 : x
  2. Step 2: Convert to fraction form
    381.21/526.03 = 213.15/x
  3. Step 3: Cross multiply
    381.21x = 526.03 × 213.15
  4. Step 4: Simplify right side
    381.21x = 112,122.76
  5. Step 5: Solve for x
    x = 112,122.76/381.21
  6. Step 6: Final answer
    x = 294.12

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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.