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Finding the Fourth Proportional to 203.12, 280.09 and 175.20

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Solution

The fourth proportional to 203.12, 280.09 and 175.20 is: 241.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.12 : 280.09 = 175.20 : x
  2. Step 2: Convert to fraction form
    203.12/280.09 = 175.20/x
  3. Step 3: Cross multiply
    203.12x = 280.09 × 175.20
  4. Step 4: Simplify right side
    203.12x = 49,071.77
  5. Step 5: Solve for x
    x = 49,071.77/203.12
  6. Step 6: Final answer
    x = 241.59

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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.