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Finding the Fourth Proportional to 363.35, 501.66 and 221.60

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Solution

The fourth proportional to 363.35, 501.66 and 221.60 is: 305.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.35 : 501.66 = 221.60 : x
  2. Step 2: Convert to fraction form
    363.35/501.66 = 221.60/x
  3. Step 3: Cross multiply
    363.35x = 501.66 × 221.60
  4. Step 4: Simplify right side
    363.35x = 111,169.11
  5. Step 5: Solve for x
    x = 111,169.11/363.35
  6. Step 6: Final answer
    x = 305.95

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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.