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Finding the Fourth Proportional to 381.75, 526.82 and 207.09

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Solution

The fourth proportional to 381.75, 526.82 and 207.09 is: 285.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.75 : 526.82 = 207.09 : x
  2. Step 2: Convert to fraction form
    381.75/526.82 = 207.09/x
  3. Step 3: Cross multiply
    381.75x = 526.82 × 207.09
  4. Step 4: Simplify right side
    381.75x = 109,100.09
  5. Step 5: Solve for x
    x = 109,100.09/381.75
  6. Step 6: Final answer
    x = 285.79

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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.