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Finding the Fourth Proportional to 203.36, 304.50 and 189.68

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Solution

The fourth proportional to 203.36, 304.50 and 189.68 is: 284.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.36 : 304.50 = 189.68 : x
  2. Step 2: Convert to fraction form
    203.36/304.50 = 189.68/x
  3. Step 3: Cross multiply
    203.36x = 304.50 × 189.68
  4. Step 4: Simplify right side
    203.36x = 57,757.56
  5. Step 5: Solve for x
    x = 57,757.56/203.36
  6. Step 6: Final answer
    x = 284.02

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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.