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Finding the Fourth Proportional to 366.03, 505.24 and 226.17

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Solution

The fourth proportional to 366.03, 505.24 and 226.17 is: 312.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.03 : 505.24 = 226.17 : x
  2. Step 2: Convert to fraction form
    366.03/505.24 = 226.17/x
  3. Step 3: Cross multiply
    366.03x = 505.24 × 226.17
  4. Step 4: Simplify right side
    366.03x = 114,269.57
  5. Step 5: Solve for x
    x = 114,269.57/366.03
  6. Step 6: Final answer
    x = 312.19

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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.