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Finding the Fourth Proportional to 135.24, 201.51 and 133.08

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Solution

The fourth proportional to 135.24, 201.51 and 133.08 is: 198.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.24 : 201.51 = 133.08 : x
  2. Step 2: Convert to fraction form
    135.24/201.51 = 133.08/x
  3. Step 3: Cross multiply
    135.24x = 201.51 × 133.08
  4. Step 4: Simplify right side
    135.24x = 26,816.95
  5. Step 5: Solve for x
    x = 26,816.95/135.24
  6. Step 6: Final answer
    x = 198.29

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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.