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Finding the Fourth Proportional to 366.78, 506.14 and 219.50

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Solution

The fourth proportional to 366.78, 506.14 and 219.50 is: 302.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.78 : 506.14 = 219.50 : x
  2. Step 2: Convert to fraction form
    366.78/506.14 = 219.50/x
  3. Step 3: Cross multiply
    366.78x = 506.14 × 219.50
  4. Step 4: Simplify right side
    366.78x = 111,097.73
  5. Step 5: Solve for x
    x = 111,097.73/366.78
  6. Step 6: Final answer
    x = 302.90

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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.