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Finding the Fourth Proportional to 226.92, 312.84 and 152.20

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Solution

The fourth proportional to 226.92, 312.84 and 152.20 is: 209.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.92 : 312.84 = 152.20 : x
  2. Step 2: Convert to fraction form
    226.92/312.84 = 152.20/x
  3. Step 3: Cross multiply
    226.92x = 312.84 × 152.20
  4. Step 4: Simplify right side
    226.92x = 47,614.25
  5. Step 5: Solve for x
    x = 47,614.25/226.92
  6. Step 6: Final answer
    x = 209.83

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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.