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Finding the Fourth Proportional to 203.26, 279.93 and 166.30

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Solution

The fourth proportional to 203.26, 279.93 and 166.30 is: 229.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.26 : 279.93 = 166.30 : x
  2. Step 2: Convert to fraction form
    203.26/279.93 = 166.30/x
  3. Step 3: Cross multiply
    203.26x = 279.93 × 166.30
  4. Step 4: Simplify right side
    203.26x = 46,552.36
  5. Step 5: Solve for x
    x = 46,552.36/203.26
  6. Step 6: Final answer
    x = 229.03

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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.