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Finding the Fourth Proportional to 136.24, 202.82 and 135.52

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Solution

The fourth proportional to 136.24, 202.82 and 135.52 is: 201.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.24 : 202.82 = 135.52 : x
  2. Step 2: Convert to fraction form
    136.24/202.82 = 135.52/x
  3. Step 3: Cross multiply
    136.24x = 202.82 × 135.52
  4. Step 4: Simplify right side
    136.24x = 27,486.17
  5. Step 5: Solve for x
    x = 27,486.17/136.24
  6. Step 6: Final answer
    x = 201.75

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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.