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Finding the Fourth Proportional to 203.20, 304.81 and 73.28

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Solution

The fourth proportional to 203.20, 304.81 and 73.28 is: 109.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.20 : 304.81 = 73.28 : x
  2. Step 2: Convert to fraction form
    203.20/304.81 = 73.28/x
  3. Step 3: Cross multiply
    203.20x = 304.81 × 73.28
  4. Step 4: Simplify right side
    203.20x = 22,335.04
  5. Step 5: Solve for x
    x = 22,335.04/203.20
  6. Step 6: Final answer
    x = 109.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.