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Finding the Fourth Proportional to 203.68, 304.24 and 171.28

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Solution

The fourth proportional to 203.68, 304.24 and 171.28 is: 255.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.68 : 304.24 = 171.28 : x
  2. Step 2: Convert to fraction form
    203.68/304.24 = 171.28/x
  3. Step 3: Cross multiply
    203.68x = 304.24 × 171.28
  4. Step 4: Simplify right side
    203.68x = 52,110.23
  5. Step 5: Solve for x
    x = 52,110.23/203.68
  6. Step 6: Final answer
    x = 255.84

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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.