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Finding the Fourth Proportional to 203.10, 280.53 and 141

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Solution

The fourth proportional to 203.10, 280.53 and 141 is: 194.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.10 : 280.53 = 141 : x
  2. Step 2: Convert to fraction form
    203.10/280.53 = 141/x
  3. Step 3: Cross multiply
    203.10x = 280.53 × 141
  4. Step 4: Simplify right side
    203.10x = 39,554.73
  5. Step 5: Solve for x
    x = 39,554.73/203.10
  6. Step 6: Final answer
    x = 194.75

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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.