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Finding the Fourth Proportional to 366.11, 505.23 and 210.86

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Solution

The fourth proportional to 366.11, 505.23 and 210.86 is: 290.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.11 : 505.23 = 210.86 : x
  2. Step 2: Convert to fraction form
    366.11/505.23 = 210.86/x
  3. Step 3: Cross multiply
    366.11x = 505.23 × 210.86
  4. Step 4: Simplify right side
    366.11x = 106,532.80
  5. Step 5: Solve for x
    x = 106,532.80/366.11
  6. Step 6: Final answer
    x = 290.99

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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.