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Finding the Fourth Proportional to 374.23, 516.41 and 206.17

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Solution

The fourth proportional to 374.23, 516.41 and 206.17 is: 284.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.23 : 516.41 = 206.17 : x
  2. Step 2: Convert to fraction form
    374.23/516.41 = 206.17/x
  3. Step 3: Cross multiply
    374.23x = 516.41 × 206.17
  4. Step 4: Simplify right side
    374.23x = 106,469.02
  5. Step 5: Solve for x
    x = 106,469.02/374.23
  6. Step 6: Final answer
    x = 284.50

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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.