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Finding the Fourth Proportional to 201.08, 277.48 and 166.15

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Solution

The fourth proportional to 201.08, 277.48 and 166.15 is: 229.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.08 : 277.48 = 166.15 : x
  2. Step 2: Convert to fraction form
    201.08/277.48 = 166.15/x
  3. Step 3: Cross multiply
    201.08x = 277.48 × 166.15
  4. Step 4: Simplify right side
    201.08x = 46,102.92
  5. Step 5: Solve for x
    x = 46,102.92/201.08
  6. Step 6: Final answer
    x = 229.27

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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.