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Finding the Fourth Proportional to 201.67, 277.99 and 166.65

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Solution

The fourth proportional to 201.67, 277.99 and 166.65 is: 229.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.67 : 277.99 = 166.65 : x
  2. Step 2: Convert to fraction form
    201.67/277.99 = 166.65/x
  3. Step 3: Cross multiply
    201.67x = 277.99 × 166.65
  4. Step 4: Simplify right side
    201.67x = 46,327.03
  5. Step 5: Solve for x
    x = 46,327.03/201.67
  6. Step 6: Final answer
    x = 229.72

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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.