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Finding the Fourth Proportional to 366.41, 505.70 and 218.99

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Solution

The fourth proportional to 366.41, 505.70 and 218.99 is: 302.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.41 : 505.70 = 218.99 : x
  2. Step 2: Convert to fraction form
    366.41/505.70 = 218.99/x
  3. Step 3: Cross multiply
    366.41x = 505.70 × 218.99
  4. Step 4: Simplify right side
    366.41x = 110,739.62
  5. Step 5: Solve for x
    x = 110,739.62/366.41
  6. Step 6: Final answer
    x = 302.23

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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.