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Finding the Fourth Proportional to 177.48, 246.06 and 168.66

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Solution

The fourth proportional to 177.48, 246.06 and 168.66 is: 233.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.48 : 246.06 = 168.66 : x
  2. Step 2: Convert to fraction form
    177.48/246.06 = 168.66/x
  3. Step 3: Cross multiply
    177.48x = 246.06 × 168.66
  4. Step 4: Simplify right side
    177.48x = 41,500.48
  5. Step 5: Solve for x
    x = 41,500.48/177.48
  6. Step 6: Final answer
    x = 233.83

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.