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Finding the Fourth Proportional to 366.94, 506.34 and 211.66

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Solution

The fourth proportional to 366.94, 506.34 and 211.66 is: 292.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.94 : 506.34 = 211.66 : x
  2. Step 2: Convert to fraction form
    366.94/506.34 = 211.66/x
  3. Step 3: Cross multiply
    366.94x = 506.34 × 211.66
  4. Step 4: Simplify right side
    366.94x = 107,171.92
  5. Step 5: Solve for x
    x = 107,171.92/366.94
  6. Step 6: Final answer
    x = 292.07

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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.