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Finding the Fourth Proportional to 233.06, 321.62 and 166.77

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Solution

The fourth proportional to 233.06, 321.62 and 166.77 is: 230.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.06 : 321.62 = 166.77 : x
  2. Step 2: Convert to fraction form
    233.06/321.62 = 166.77/x
  3. Step 3: Cross multiply
    233.06x = 321.62 × 166.77
  4. Step 4: Simplify right side
    233.06x = 53,635.73
  5. Step 5: Solve for x
    x = 53,635.73/233.06
  6. Step 6: Final answer
    x = 230.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.