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Finding the Fourth Proportional to 366.85, 506.25 and 219.40

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Solution

The fourth proportional to 366.85, 506.25 and 219.40 is: 302.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.85 : 506.25 = 219.40 : x
  2. Step 2: Convert to fraction form
    366.85/506.25 = 219.40/x
  3. Step 3: Cross multiply
    366.85x = 506.25 × 219.40
  4. Step 4: Simplify right side
    366.85x = 111,070.43
  5. Step 5: Solve for x
    x = 111,070.43/366.85
  6. Step 6: Final answer
    x = 302.77

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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.