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Finding the Fourth Proportional to 201.49, 277.75 and 166.46

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Solution

The fourth proportional to 201.49, 277.75 and 166.46 is: 229.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.49 : 277.75 = 166.46 : x
  2. Step 2: Convert to fraction form
    201.49/277.75 = 166.46/x
  3. Step 3: Cross multiply
    201.49x = 277.75 × 166.46
  4. Step 4: Simplify right side
    201.49x = 46,232.15
  5. Step 5: Solve for x
    x = 46,232.15/201.49
  6. Step 6: Final answer
    x = 229.45

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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.