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Finding the Fourth Proportional to 200.59, 299.47 and 169.83

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Solution

The fourth proportional to 200.59, 299.47 and 169.83 is: 253.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.59 : 299.47 = 169.83 : x
  2. Step 2: Convert to fraction form
    200.59/299.47 = 169.83/x
  3. Step 3: Cross multiply
    200.59x = 299.47 × 169.83
  4. Step 4: Simplify right side
    200.59x = 50,858.99
  5. Step 5: Solve for x
    x = 50,858.99/200.59
  6. Step 6: Final answer
    x = 253.55

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