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Finding the Fourth Proportional to 166.08, 229.20 and 149.60

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Solution

The fourth proportional to 166.08, 229.20 and 149.60 is: 206.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.08 : 229.20 = 149.60 : x
  2. Step 2: Convert to fraction form
    166.08/229.20 = 149.60/x
  3. Step 3: Cross multiply
    166.08x = 229.20 × 149.60
  4. Step 4: Simplify right side
    166.08x = 34,288.32
  5. Step 5: Solve for x
    x = 34,288.32/166.08
  6. Step 6: Final answer
    x = 206.46

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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.