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Finding the Fourth Proportional to 363.86, 501.98 and 206.46

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Solution

The fourth proportional to 363.86, 501.98 and 206.46 is: 284.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.86 : 501.98 = 206.46 : x
  2. Step 2: Convert to fraction form
    363.86/501.98 = 206.46/x
  3. Step 3: Cross multiply
    363.86x = 501.98 × 206.46
  4. Step 4: Simplify right side
    363.86x = 103,639.31
  5. Step 5: Solve for x
    x = 103,639.31/363.86
  6. Step 6: Final answer
    x = 284.83

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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.