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Finding the Fourth Proportional to 226.57, 312.82 and 146.96

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Solution

The fourth proportional to 226.57, 312.82 and 146.96 is: 202.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.57 : 312.82 = 146.96 : x
  2. Step 2: Convert to fraction form
    226.57/312.82 = 146.96/x
  3. Step 3: Cross multiply
    226.57x = 312.82 × 146.96
  4. Step 4: Simplify right side
    226.57x = 45,971.29
  5. Step 5: Solve for x
    x = 45,971.29/226.57
  6. Step 6: Final answer
    x = 202.90

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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.