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Finding the Fourth Proportional to 226.10, 311.63 and 170.74

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Solution

The fourth proportional to 226.10, 311.63 and 170.74 is: 235.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.10 : 311.63 = 170.74 : x
  2. Step 2: Convert to fraction form
    226.10/311.63 = 170.74/x
  3. Step 3: Cross multiply
    226.10x = 311.63 × 170.74
  4. Step 4: Simplify right side
    226.10x = 53,207.71
  5. Step 5: Solve for x
    x = 53,207.71/226.10
  6. Step 6: Final answer
    x = 235.33

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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.