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Finding the Fourth Proportional to 381.50, 526.46 and 206.84

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Solution

The fourth proportional to 381.50, 526.46 and 206.84 is: 285.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.50 : 526.46 = 206.84 : x
  2. Step 2: Convert to fraction form
    381.50/526.46 = 206.84/x
  3. Step 3: Cross multiply
    381.50x = 526.46 × 206.84
  4. Step 4: Simplify right side
    381.50x = 108,890.87
  5. Step 5: Solve for x
    x = 108,890.87/381.50
  6. Step 6: Final answer
    x = 285.43

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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.