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Finding the Fourth Proportional to 366.06, 505.15 and 218.78

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Solution

The fourth proportional to 366.06, 505.15 and 218.78 is: 301.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.06 : 505.15 = 218.78 : x
  2. Step 2: Convert to fraction form
    366.06/505.15 = 218.78/x
  3. Step 3: Cross multiply
    366.06x = 505.15 × 218.78
  4. Step 4: Simplify right side
    366.06x = 110,516.77
  5. Step 5: Solve for x
    x = 110,516.77/366.06
  6. Step 6: Final answer
    x = 301.91

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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.