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Finding the Fourth Proportional to 203.97, 305.53 and 149.09

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Solution

The fourth proportional to 203.97, 305.53 and 149.09 is: 223.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.97 : 305.53 = 149.09 : x
  2. Step 2: Convert to fraction form
    203.97/305.53 = 149.09/x
  3. Step 3: Cross multiply
    203.97x = 305.53 × 149.09
  4. Step 4: Simplify right side
    203.97x = 45,551.47
  5. Step 5: Solve for x
    x = 45,551.47/203.97
  6. Step 6: Final answer
    x = 223.32

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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.