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Finding the Fourth Proportional to 166.83, 230.33 and 107.84

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Solution

The fourth proportional to 166.83, 230.33 and 107.84 is: 148.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.83 : 230.33 = 107.84 : x
  2. Step 2: Convert to fraction form
    166.83/230.33 = 107.84/x
  3. Step 3: Cross multiply
    166.83x = 230.33 × 107.84
  4. Step 4: Simplify right side
    166.83x = 24,838.79
  5. Step 5: Solve for x
    x = 24,838.79/166.83
  6. Step 6: Final answer
    x = 148.89

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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.