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Finding the Fourth Proportional to 230.26, 345.26 and 166

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Solution

The fourth proportional to 230.26, 345.26 and 166 is: 248.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.26 : 345.26 = 166 : x
  2. Step 2: Convert to fraction form
    230.26/345.26 = 166/x
  3. Step 3: Cross multiply
    230.26x = 345.26 × 166
  4. Step 4: Simplify right side
    230.26x = 57,312.33
  5. Step 5: Solve for x
    x = 57,312.33/230.26
  6. Step 6: Final answer
    x = 248.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.