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Finding the Fourth Proportional to 366.06, 505.26 and 226.20

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Solution

The fourth proportional to 366.06, 505.26 and 226.20 is: 312.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.06 : 505.26 = 226.20 : x
  2. Step 2: Convert to fraction form
    366.06/505.26 = 226.20/x
  3. Step 3: Cross multiply
    366.06x = 505.26 × 226.20
  4. Step 4: Simplify right side
    366.06x = 114,289.81
  5. Step 5: Solve for x
    x = 114,289.81/366.06
  6. Step 6: Final answer
    x = 312.22

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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.