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Finding the Fourth Proportional to 201.76, 278.45 and 166.93

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Solution

The fourth proportional to 201.76, 278.45 and 166.93 is: 230.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.76 : 278.45 = 166.93 : x
  2. Step 2: Convert to fraction form
    201.76/278.45 = 166.93/x
  3. Step 3: Cross multiply
    201.76x = 278.45 × 166.93
  4. Step 4: Simplify right side
    201.76x = 46,481.66
  5. Step 5: Solve for x
    x = 46,481.66/201.76
  6. Step 6: Final answer
    x = 230.38

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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.