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Finding the Fourth Proportional to 366.68, 505.79 and 226.55

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Solution

The fourth proportional to 366.68, 505.79 and 226.55 is: 312.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.68 : 505.79 = 226.55 : x
  2. Step 2: Convert to fraction form
    366.68/505.79 = 226.55/x
  3. Step 3: Cross multiply
    366.68x = 505.79 × 226.55
  4. Step 4: Simplify right side
    366.68x = 114,583.06
  5. Step 5: Solve for x
    x = 114,583.06/366.68
  6. Step 6: Final answer
    x = 312.49

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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.