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Finding the Fourth Proportional to 201.98, 301.28 and 169.69

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Solution

The fourth proportional to 201.98, 301.28 and 169.69 is: 253.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.98 : 301.28 = 169.69 : x
  2. Step 2: Convert to fraction form
    201.98/301.28 = 169.69/x
  3. Step 3: Cross multiply
    201.98x = 301.28 × 169.69
  4. Step 4: Simplify right side
    201.98x = 51,124.20
  5. Step 5: Solve for x
    x = 51,124.20/201.98
  6. Step 6: Final answer
    x = 253.12

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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.