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Finding the Fourth Proportional to 381.17, 526.02 and 206.52

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Solution

The fourth proportional to 381.17, 526.02 and 206.52 is: 284.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.17 : 526.02 = 206.52 : x
  2. Step 2: Convert to fraction form
    381.17/526.02 = 206.52/x
  3. Step 3: Cross multiply
    381.17x = 526.02 × 206.52
  4. Step 4: Simplify right side
    381.17x = 108,631.02
  5. Step 5: Solve for x
    x = 108,631.02/381.17
  6. Step 6: Final answer
    x = 284.99

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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.