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Finding the Fourth Proportional to 363.48, 501.68 and 206.11

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Solution

The fourth proportional to 363.48, 501.68 and 206.11 is: 284.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.48 : 501.68 = 206.11 : x
  2. Step 2: Convert to fraction form
    363.48/501.68 = 206.11/x
  3. Step 3: Cross multiply
    363.48x = 501.68 × 206.11
  4. Step 4: Simplify right side
    363.48x = 103,400.23
  5. Step 5: Solve for x
    x = 103,400.23/363.48
  6. Step 6: Final answer
    x = 284.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.