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Finding the Fourth Proportional to 365.52, 548.32 and 146.09

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Solution

The fourth proportional to 365.52, 548.32 and 146.09 is: 219.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.52 : 548.32 = 146.09 : x
  2. Step 2: Convert to fraction form
    365.52/548.32 = 146.09/x
  3. Step 3: Cross multiply
    365.52x = 548.32 × 146.09
  4. Step 4: Simplify right side
    365.52x = 80,105.07
  5. Step 5: Solve for x
    x = 80,105.07/365.52
  6. Step 6: Final answer
    x = 219.15

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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.