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Finding the Fourth Proportional to 226.78, 312.67 and 152.94

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Solution

The fourth proportional to 226.78, 312.67 and 152.94 is: 210.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.78 : 312.67 = 152.94 : x
  2. Step 2: Convert to fraction form
    226.78/312.67 = 152.94/x
  3. Step 3: Cross multiply
    226.78x = 312.67 × 152.94
  4. Step 4: Simplify right side
    226.78x = 47,819.75
  5. Step 5: Solve for x
    x = 47,819.75/226.78
  6. Step 6: Final answer
    x = 210.86

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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.