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Finding the Fourth Proportional to 201.72, 277.72 and 166.62

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Solution

The fourth proportional to 201.72, 277.72 and 166.62 is: 229.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.72 : 277.72 = 166.62 : x
  2. Step 2: Convert to fraction form
    201.72/277.72 = 166.62/x
  3. Step 3: Cross multiply
    201.72x = 277.72 × 166.62
  4. Step 4: Simplify right side
    201.72x = 46,273.71
  5. Step 5: Solve for x
    x = 46,273.71/201.72
  6. Step 6: Final answer
    x = 229.40

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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.