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Finding the Fourth Proportional to 203.51, 305.23 and 112.18

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Solution

The fourth proportional to 203.51, 305.23 and 112.18 is: 168.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.51 : 305.23 = 112.18 : x
  2. Step 2: Convert to fraction form
    203.51/305.23 = 112.18/x
  3. Step 3: Cross multiply
    203.51x = 305.23 × 112.18
  4. Step 4: Simplify right side
    203.51x = 34,240.70
  5. Step 5: Solve for x
    x = 34,240.70/203.51
  6. Step 6: Final answer
    x = 168.25

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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.