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Finding the Fourth Proportional to 200.70, 299.64 and 169.95

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Solution

The fourth proportional to 200.70, 299.64 and 169.95 is: 253.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.70 : 299.64 = 169.95 : x
  2. Step 2: Convert to fraction form
    200.70/299.64 = 169.95/x
  3. Step 3: Cross multiply
    200.70x = 299.64 × 169.95
  4. Step 4: Simplify right side
    200.70x = 50,923.82
  5. Step 5: Solve for x
    x = 50,923.82/200.70
  6. Step 6: Final answer
    x = 253.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.