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Finding the Fourth Proportional to 203.06, 305.20 and 149.20

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Solution

The fourth proportional to 203.06, 305.20 and 149.20 is: 224.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.06 : 305.20 = 149.20 : x
  2. Step 2: Convert to fraction form
    203.06/305.20 = 149.20/x
  3. Step 3: Cross multiply
    203.06x = 305.20 × 149.20
  4. Step 4: Simplify right side
    203.06x = 45,535.84
  5. Step 5: Solve for x
    x = 45,535.84/203.06
  6. Step 6: Final answer
    x = 224.25

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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.