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Finding the Fourth Proportional to 166.83, 229.94 and 117.05

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Solution

The fourth proportional to 166.83, 229.94 and 117.05 is: 161.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.83 : 229.94 = 117.05 : x
  2. Step 2: Convert to fraction form
    166.83/229.94 = 117.05/x
  3. Step 3: Cross multiply
    166.83x = 229.94 × 117.05
  4. Step 4: Simplify right side
    166.83x = 26,915.89
  5. Step 5: Solve for x
    x = 26,915.89/166.83
  6. Step 6: Final answer
    x = 161.34

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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.