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Finding the Fourth Proportional to 365.28, 548 and 159.78

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Solution

The fourth proportional to 365.28, 548 and 159.78 is: 239.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.28 : 548 = 159.78 : x
  2. Step 2: Convert to fraction form
    365.28/548 = 159.78/x
  3. Step 3: Cross multiply
    365.28x = 548 × 159.78
  4. Step 4: Simplify right side
    365.28x = 87,559.44
  5. Step 5: Solve for x
    x = 87,559.44/365.28
  6. Step 6: Final answer
    x = 239.70

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Why These Related Problems?

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