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Finding the Fourth Proportional to 226.36, 311.70 and 177.13

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Solution

The fourth proportional to 226.36, 311.70 and 177.13 is: 243.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.36 : 311.70 = 177.13 : x
  2. Step 2: Convert to fraction form
    226.36/311.70 = 177.13/x
  3. Step 3: Cross multiply
    226.36x = 311.70 × 177.13
  4. Step 4: Simplify right side
    226.36x = 55,211.42
  5. Step 5: Solve for x
    x = 55,211.42/226.36
  6. Step 6: Final answer
    x = 243.91

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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.