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Finding the Fourth Proportional to 203.50, 280.89 and 141.38

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Solution

The fourth proportional to 203.50, 280.89 and 141.38 is: 195.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.50 : 280.89 = 141.38 : x
  2. Step 2: Convert to fraction form
    203.50/280.89 = 141.38/x
  3. Step 3: Cross multiply
    203.50x = 280.89 × 141.38
  4. Step 4: Simplify right side
    203.50x = 39,710.12
  5. Step 5: Solve for x
    x = 39,710.12/203.50
  6. Step 6: Final answer
    x = 195.14

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Why These Related Problems?

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