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Finding the Fourth Proportional to 182.70, 251.63 and 166.50

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Solution

The fourth proportional to 182.70, 251.63 and 166.50 is: 229.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.70 : 251.63 = 166.50 : x
  2. Step 2: Convert to fraction form
    182.70/251.63 = 166.50/x
  3. Step 3: Cross multiply
    182.70x = 251.63 × 166.50
  4. Step 4: Simplify right side
    182.70x = 41,895.56
  5. Step 5: Solve for x
    x = 41,895.56/182.70
  6. Step 6: Final answer
    x = 229.31

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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.