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Finding the Fourth Proportional to 203.72, 305.30 and 107.42

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Solution

The fourth proportional to 203.72, 305.30 and 107.42 is: 160.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.72 : 305.30 = 107.42 : x
  2. Step 2: Convert to fraction form
    203.72/305.30 = 107.42/x
  3. Step 3: Cross multiply
    203.72x = 305.30 × 107.42
  4. Step 4: Simplify right side
    203.72x = 32,795.33
  5. Step 5: Solve for x
    x = 32,795.33/203.72
  6. Step 6: Final answer
    x = 160.98

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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.