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Finding the Fourth Proportional to 366.04, 505.18 and 226.12

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Solution

The fourth proportional to 366.04, 505.18 and 226.12 is: 312.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.04 : 505.18 = 226.12 : x
  2. Step 2: Convert to fraction form
    366.04/505.18 = 226.12/x
  3. Step 3: Cross multiply
    366.04x = 505.18 × 226.12
  4. Step 4: Simplify right side
    366.04x = 114,231.30
  5. Step 5: Solve for x
    x = 114,231.30/366.04
  6. Step 6: Final answer
    x = 312.07

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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.