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Finding the Fourth Proportional to 226.54, 312.87 and 156.70

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Solution

The fourth proportional to 226.54, 312.87 and 156.70 is: 216.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.54 : 312.87 = 156.70 : x
  2. Step 2: Convert to fraction form
    226.54/312.87 = 156.70/x
  3. Step 3: Cross multiply
    226.54x = 312.87 × 156.70
  4. Step 4: Simplify right side
    226.54x = 49,026.73
  5. Step 5: Solve for x
    x = 49,026.73/226.54
  6. Step 6: Final answer
    x = 216.42

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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.