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Finding the Fourth Proportional to 200.23, 276.49 and 193.70

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Solution

The fourth proportional to 200.23, 276.49 and 193.70 is: 267.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.23 : 276.49 = 193.70 : x
  2. Step 2: Convert to fraction form
    200.23/276.49 = 193.70/x
  3. Step 3: Cross multiply
    200.23x = 276.49 × 193.70
  4. Step 4: Simplify right side
    200.23x = 53,555.14
  5. Step 5: Solve for x
    x = 53,555.14/200.23
  6. Step 6: Final answer
    x = 267.47

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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.