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Finding the Fourth Proportional to 381.32, 526.21 and 206.66

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Solution

The fourth proportional to 381.32, 526.21 and 206.66 is: 285.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.32 : 526.21 = 206.66 : x
  2. Step 2: Convert to fraction form
    381.32/526.21 = 206.66/x
  3. Step 3: Cross multiply
    381.32x = 526.21 × 206.66
  4. Step 4: Simplify right side
    381.32x = 108,743.93
  5. Step 5: Solve for x
    x = 108,743.93/381.32
  6. Step 6: Final answer
    x = 285.18

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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.