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Finding the Fourth Proportional to 203.91, 280.94 and 170.59

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Solution

The fourth proportional to 203.91, 280.94 and 170.59 is: 235.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.91 : 280.94 = 170.59 : x
  2. Step 2: Convert to fraction form
    203.91/280.94 = 170.59/x
  3. Step 3: Cross multiply
    203.91x = 280.94 × 170.59
  4. Step 4: Simplify right side
    203.91x = 47,925.55
  5. Step 5: Solve for x
    x = 47,925.55/203.91
  6. Step 6: Final answer
    x = 235.03

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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.