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Finding the Fourth Proportional to 366.05, 505.06 and 226.24

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Solution

The fourth proportional to 366.05, 505.06 and 226.24 is: 312.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.05 : 505.06 = 226.24 : x
  2. Step 2: Convert to fraction form
    366.05/505.06 = 226.24/x
  3. Step 3: Cross multiply
    366.05x = 505.06 × 226.24
  4. Step 4: Simplify right side
    366.05x = 114,262.95
  5. Step 5: Solve for x
    x = 114,262.95/366.05
  6. Step 6: Final answer
    x = 312.15

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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.