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Finding the Fourth Proportional to 365.36, 548.30 and 159.83

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Solution

The fourth proportional to 365.36, 548.30 and 159.83 is: 239.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.36 : 548.30 = 159.83 : x
  2. Step 2: Convert to fraction form
    365.36/548.30 = 159.83/x
  3. Step 3: Cross multiply
    365.36x = 548.30 × 159.83
  4. Step 4: Simplify right side
    365.36x = 87,631.25
  5. Step 5: Solve for x
    x = 87,631.25/365.36
  6. Step 6: Final answer
    x = 239.85

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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.