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Finding the Fourth Proportional to 226.86, 313.10 and 128.67

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Solution

The fourth proportional to 226.86, 313.10 and 128.67 is: 177.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.86 : 313.10 = 128.67 : x
  2. Step 2: Convert to fraction form
    226.86/313.10 = 128.67/x
  3. Step 3: Cross multiply
    226.86x = 313.10 × 128.67
  4. Step 4: Simplify right side
    226.86x = 40,286.58
  5. Step 5: Solve for x
    x = 40,286.58/226.86
  6. Step 6: Final answer
    x = 177.58

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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.