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Finding the Fourth Proportional to 250.84, 346.22 and 200.85

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Solution

The fourth proportional to 250.84, 346.22 and 200.85 is: 277.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.84 : 346.22 = 200.85 : x
  2. Step 2: Convert to fraction form
    250.84/346.22 = 200.85/x
  3. Step 3: Cross multiply
    250.84x = 346.22 × 200.85
  4. Step 4: Simplify right side
    250.84x = 69,537.28
  5. Step 5: Solve for x
    x = 69,537.28/250.84
  6. Step 6: Final answer
    x = 277.22

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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.