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Finding the Fourth Proportional to 166.86, 229.99 and 111.58

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Solution

The fourth proportional to 166.86, 229.99 and 111.58 is: 153.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.86 : 229.99 = 111.58 : x
  2. Step 2: Convert to fraction form
    166.86/229.99 = 111.58/x
  3. Step 3: Cross multiply
    166.86x = 229.99 × 111.58
  4. Step 4: Simplify right side
    166.86x = 25,662.28
  5. Step 5: Solve for x
    x = 25,662.28/166.86
  6. Step 6: Final answer
    x = 153.79

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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.