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Finding the Fourth Proportional to 203.18, 280.26 and 166.14

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Solution

The fourth proportional to 203.18, 280.26 and 166.14 is: 229.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.18 : 280.26 = 166.14 : x
  2. Step 2: Convert to fraction form
    203.18/280.26 = 166.14/x
  3. Step 3: Cross multiply
    203.18x = 280.26 × 166.14
  4. Step 4: Simplify right side
    203.18x = 46,562.40
  5. Step 5: Solve for x
    x = 46,562.40/203.18
  6. Step 6: Final answer
    x = 229.17

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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.