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Finding the Fourth Proportional to 166.24, 229.44 and 136.54

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Solution

The fourth proportional to 166.24, 229.44 and 136.54 is: 188.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.24 : 229.44 = 136.54 : x
  2. Step 2: Convert to fraction form
    166.24/229.44 = 136.54/x
  3. Step 3: Cross multiply
    166.24x = 229.44 × 136.54
  4. Step 4: Simplify right side
    166.24x = 31,327.74
  5. Step 5: Solve for x
    x = 31,327.74/166.24
  6. Step 6: Final answer
    x = 188.45

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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.