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Finding the Fourth Proportional to 201.18, 277.38 and 166.35

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Solution

The fourth proportional to 201.18, 277.38 and 166.35 is: 229.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.18 : 277.38 = 166.35 : x
  2. Step 2: Convert to fraction form
    201.18/277.38 = 166.35/x
  3. Step 3: Cross multiply
    201.18x = 277.38 × 166.35
  4. Step 4: Simplify right side
    201.18x = 46,142.16
  5. Step 5: Solve for x
    x = 46,142.16/201.18
  6. Step 6: Final answer
    x = 229.36

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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.