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Finding the Fourth Proportional to 166.83, 229.86 and 111.48

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Solution

The fourth proportional to 166.83, 229.86 and 111.48 is: 153.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.83 : 229.86 = 111.48 : x
  2. Step 2: Convert to fraction form
    166.83/229.86 = 111.48/x
  3. Step 3: Cross multiply
    166.83x = 229.86 × 111.48
  4. Step 4: Simplify right side
    166.83x = 25,624.79
  5. Step 5: Solve for x
    x = 25,624.79/166.83
  6. Step 6: Final answer
    x = 153.60

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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.