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Finding the Fourth Proportional to 203.83, 280.79 and 141.56

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Solution

The fourth proportional to 203.83, 280.79 and 141.56 is: 195.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.83 : 280.79 = 141.56 : x
  2. Step 2: Convert to fraction form
    203.83/280.79 = 141.56/x
  3. Step 3: Cross multiply
    203.83x = 280.79 × 141.56
  4. Step 4: Simplify right side
    203.83x = 39,748.63
  5. Step 5: Solve for x
    x = 39,748.63/203.83
  6. Step 6: Final answer
    x = 195.01

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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.