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Finding the Fourth Proportional to 203.70, 280.61 and 141.42

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Solution

The fourth proportional to 203.70, 280.61 and 141.42 is: 194.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.70 : 280.61 = 141.42 : x
  2. Step 2: Convert to fraction form
    203.70/280.61 = 141.42/x
  3. Step 3: Cross multiply
    203.70x = 280.61 × 141.42
  4. Step 4: Simplify right side
    203.70x = 39,683.87
  5. Step 5: Solve for x
    x = 39,683.87/203.70
  6. Step 6: Final answer
    x = 194.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.