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Finding the Fourth Proportional to 169.56, 253.40 and 133.38

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Solution

The fourth proportional to 169.56, 253.40 and 133.38 is: 199.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.56 : 253.40 = 133.38 : x
  2. Step 2: Convert to fraction form
    169.56/253.40 = 133.38/x
  3. Step 3: Cross multiply
    169.56x = 253.40 × 133.38
  4. Step 4: Simplify right side
    169.56x = 33,797.83
  5. Step 5: Solve for x
    x = 33,797.83/169.56
  6. Step 6: Final answer
    x = 199.33

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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.