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Finding the Fourth Proportional to 365.81, 548.72 and 109.31

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Solution

The fourth proportional to 365.81, 548.72 and 109.31 is: 163.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.81 : 548.72 = 109.31 : x
  2. Step 2: Convert to fraction form
    365.81/548.72 = 109.31/x
  3. Step 3: Cross multiply
    365.81x = 548.72 × 109.31
  4. Step 4: Simplify right side
    365.81x = 59,981.82
  5. Step 5: Solve for x
    x = 59,981.82/365.81
  6. Step 6: Final answer
    x = 163.97

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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.