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Finding the Fourth Proportional to 365.52, 548.52 and 243.84

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Solution

The fourth proportional to 365.52, 548.52 and 243.84 is: 365.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.52 : 548.52 = 243.84 : x
  2. Step 2: Convert to fraction form
    365.52/548.52 = 243.84/x
  3. Step 3: Cross multiply
    365.52x = 548.52 × 243.84
  4. Step 4: Simplify right side
    365.52x = 133,751.12
  5. Step 5: Solve for x
    x = 133,751.12/365.52
  6. Step 6: Final answer
    x = 365.92

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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.