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Finding the Fourth Proportional to 249.01, 343.54 and 200.00

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Solution

The fourth proportional to 249.01, 343.54 and 200.00 is: 275.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.01 : 343.54 = 200.00 : x
  2. Step 2: Convert to fraction form
    249.01/343.54 = 200.00/x
  3. Step 3: Cross multiply
    249.01x = 343.54 × 200.00
  4. Step 4: Simplify right side
    249.01x = 68,709.11
  5. Step 5: Solve for x
    x = 68,709.11/249.01
  6. Step 6: Final answer
    x = 275.93

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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.