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Finding the Fourth Proportional to 203.85, 305.89 and 101.22

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Solution

The fourth proportional to 203.85, 305.89 and 101.22 is: 151.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.85 : 305.89 = 101.22 : x
  2. Step 2: Convert to fraction form
    203.85/305.89 = 101.22/x
  3. Step 3: Cross multiply
    203.85x = 305.89 × 101.22
  4. Step 4: Simplify right side
    203.85x = 30,963.51
  5. Step 5: Solve for x
    x = 30,963.51/203.85
  6. Step 6: Final answer
    x = 151.89

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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.