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Finding the Fourth Proportional to 166.26, 229.14 and 153.87

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Solution

The fourth proportional to 166.26, 229.14 and 153.87 is: 212.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.26 : 229.14 = 153.87 : x
  2. Step 2: Convert to fraction form
    166.26/229.14 = 153.87/x
  3. Step 3: Cross multiply
    166.26x = 229.14 × 153.87
  4. Step 4: Simplify right side
    166.26x = 35,257.77
  5. Step 5: Solve for x
    x = 35,257.77/166.26
  6. Step 6: Final answer
    x = 212.06

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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.