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Finding the Fourth Proportional to 226.97, 340.59 and 145.84

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Solution

The fourth proportional to 226.97, 340.59 and 145.84 is: 218.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.97 : 340.59 = 145.84 : x
  2. Step 2: Convert to fraction form
    226.97/340.59 = 145.84/x
  3. Step 3: Cross multiply
    226.97x = 340.59 × 145.84
  4. Step 4: Simplify right side
    226.97x = 49,671.65
  5. Step 5: Solve for x
    x = 49,671.65/226.97
  6. Step 6: Final answer
    x = 218.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.