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Finding the Fourth Proportional to 166.57, 229.57 and 133.77

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Solution

The fourth proportional to 166.57, 229.57 and 133.77 is: 184.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.57 : 229.57 = 133.77 : x
  2. Step 2: Convert to fraction form
    166.57/229.57 = 133.77/x
  3. Step 3: Cross multiply
    166.57x = 229.57 × 133.77
  4. Step 4: Simplify right side
    166.57x = 30,709.58
  5. Step 5: Solve for x
    x = 30,709.58/166.57
  6. Step 6: Final answer
    x = 184.36

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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.