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Finding the Fourth Proportional to 203.12, 280.34 and 125.50

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Solution

The fourth proportional to 203.12, 280.34 and 125.50 is: 173.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.12 : 280.34 = 125.50 : x
  2. Step 2: Convert to fraction form
    203.12/280.34 = 125.50/x
  3. Step 3: Cross multiply
    203.12x = 280.34 × 125.50
  4. Step 4: Simplify right side
    203.12x = 35,182.67
  5. Step 5: Solve for x
    x = 35,182.67/203.12
  6. Step 6: Final answer
    x = 173.21

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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.