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Finding the Fourth Proportional to 226, 311.76 and 170.68

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Solution

The fourth proportional to 226, 311.76 and 170.68 is: 235.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    226 : 311.76 = 170.68 : x
  2. Step 2: Convert to fraction form
    226/311.76 = 170.68/x
  3. Step 3: Cross multiply
    226x = 311.76 × 170.68
  4. Step 4: Simplify right side
    226x = 53,211.20
  5. Step 5: Solve for x
    x = 53,211.20/226
  6. Step 6: Final answer
    x = 235.45

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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.