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Finding the Fourth Proportional to 365.24, 548.10 and 159.80

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Solution

The fourth proportional to 365.24, 548.10 and 159.80 is: 239.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.24 : 548.10 = 159.80 : x
  2. Step 2: Convert to fraction form
    365.24/548.10 = 159.80/x
  3. Step 3: Cross multiply
    365.24x = 548.10 × 159.80
  4. Step 4: Simplify right side
    365.24x = 87,586.38
  5. Step 5: Solve for x
    x = 87,586.38/365.24
  6. Step 6: Final answer
    x = 239.81

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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.