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Finding the Fourth Proportional to 366.02, 505.05 and 218.62

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Solution

The fourth proportional to 366.02, 505.05 and 218.62 is: 301.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.02 : 505.05 = 218.62 : x
  2. Step 2: Convert to fraction form
    366.02/505.05 = 218.62/x
  3. Step 3: Cross multiply
    366.02x = 505.05 × 218.62
  4. Step 4: Simplify right side
    366.02x = 110,414.03
  5. Step 5: Solve for x
    x = 110,414.03/366.02
  6. Step 6: Final answer
    x = 301.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.