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Finding the Fourth Proportional to 226.54, 312.45 and 152.83

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Solution

The fourth proportional to 226.54, 312.45 and 152.83 is: 210.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.54 : 312.45 = 152.83 : x
  2. Step 2: Convert to fraction form
    226.54/312.45 = 152.83/x
  3. Step 3: Cross multiply
    226.54x = 312.45 × 152.83
  4. Step 4: Simplify right side
    226.54x = 47,751.73
  5. Step 5: Solve for x
    x = 47,751.73/226.54
  6. Step 6: Final answer
    x = 210.79

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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.