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Finding the Fourth Proportional to 226.27, 311.91 and 152.47

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Solution

The fourth proportional to 226.27, 311.91 and 152.47 is: 210.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.27 : 311.91 = 152.47 : x
  2. Step 2: Convert to fraction form
    226.27/311.91 = 152.47/x
  3. Step 3: Cross multiply
    226.27x = 311.91 × 152.47
  4. Step 4: Simplify right side
    226.27x = 47,556.92
  5. Step 5: Solve for x
    x = 47,556.92/226.27
  6. Step 6: Final answer
    x = 210.18

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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.