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Finding the Fourth Proportional to 166.50, 229.77 and 114.05

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Solution

The fourth proportional to 166.50, 229.77 and 114.05 is: 157.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.50 : 229.77 = 114.05 : x
  2. Step 2: Convert to fraction form
    166.50/229.77 = 114.05/x
  3. Step 3: Cross multiply
    166.50x = 229.77 × 114.05
  4. Step 4: Simplify right side
    166.50x = 26,205.84
  5. Step 5: Solve for x
    x = 26,205.84/166.50
  6. Step 6: Final answer
    x = 157.39

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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.