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Finding the Fourth Proportional to 203.52, 304.04 and 163.04

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Solution

The fourth proportional to 203.52, 304.04 and 163.04 is: 243.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.52 : 304.04 = 163.04 : x
  2. Step 2: Convert to fraction form
    203.52/304.04 = 163.04/x
  3. Step 3: Cross multiply
    203.52x = 304.04 × 163.04
  4. Step 4: Simplify right side
    203.52x = 49,570.68
  5. Step 5: Solve for x
    x = 49,570.68/203.52
  6. Step 6: Final answer
    x = 243.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.