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Finding the Fourth Proportional to 381.57, 526.57 and 206.91

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Solution

The fourth proportional to 381.57, 526.57 and 206.91 is: 285.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.57 : 526.57 = 206.91 : x
  2. Step 2: Convert to fraction form
    381.57/526.57 = 206.91/x
  3. Step 3: Cross multiply
    381.57x = 526.57 × 206.91
  4. Step 4: Simplify right side
    381.57x = 108,953.67
  5. Step 5: Solve for x
    x = 108,953.67/381.57
  6. Step 6: Final answer
    x = 285.54

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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.