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Finding the Fourth Proportional to 166.23, 229.41 and 107.30

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Solution

The fourth proportional to 166.23, 229.41 and 107.30 is: 148.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.23 : 229.41 = 107.30 : x
  2. Step 2: Convert to fraction form
    166.23/229.41 = 107.30/x
  3. Step 3: Cross multiply
    166.23x = 229.41 × 107.30
  4. Step 4: Simplify right side
    166.23x = 24,615.32
  5. Step 5: Solve for x
    x = 24,615.32/166.23
  6. Step 6: Final answer
    x = 148.08

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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.