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Finding the Fourth Proportional to 365.75, 548.56 and 134.58

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Solution

The fourth proportional to 365.75, 548.56 and 134.58 is: 201.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.75 : 548.56 = 134.58 : x
  2. Step 2: Convert to fraction form
    365.75/548.56 = 134.58/x
  3. Step 3: Cross multiply
    365.75x = 548.56 × 134.58
  4. Step 4: Simplify right side
    365.75x = 73,825.54
  5. Step 5: Solve for x
    x = 73,825.54/365.75
  6. Step 6: Final answer
    x = 201.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.