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Finding the Fourth Proportional to 365.82, 548.82 and 122.35

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Solution

The fourth proportional to 365.82, 548.82 and 122.35 is: 183.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.82 : 548.82 = 122.35 : x
  2. Step 2: Convert to fraction form
    365.82/548.82 = 122.35/x
  3. Step 3: Cross multiply
    365.82x = 548.82 × 122.35
  4. Step 4: Simplify right side
    365.82x = 67,148.13
  5. Step 5: Solve for x
    x = 67,148.13/365.82
  6. Step 6: Final answer
    x = 183.56

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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.