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Finding the Fourth Proportional to 200.68, 299.83 and 159.28

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Solution

The fourth proportional to 200.68, 299.83 and 159.28 is: 237.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.68 : 299.83 = 159.28 : x
  2. Step 2: Convert to fraction form
    200.68/299.83 = 159.28/x
  3. Step 3: Cross multiply
    200.68x = 299.83 × 159.28
  4. Step 4: Simplify right side
    200.68x = 47,756.92
  5. Step 5: Solve for x
    x = 47,756.92/200.68
  6. Step 6: Final answer
    x = 237.98

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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.