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Finding the Fourth Proportional to 203.43, 304.86 and 112.17

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Solution

The fourth proportional to 203.43, 304.86 and 112.17 is: 168.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.43 : 304.86 = 112.17 : x
  2. Step 2: Convert to fraction form
    203.43/304.86 = 112.17/x
  3. Step 3: Cross multiply
    203.43x = 304.86 × 112.17
  4. Step 4: Simplify right side
    203.43x = 34,196.15
  5. Step 5: Solve for x
    x = 34,196.15/203.43
  6. Step 6: Final answer
    x = 168.10

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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.