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Finding the Fourth Proportional to 201.60, 277.56 and 169.20

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Solution

The fourth proportional to 201.60, 277.56 and 169.20 is: 232.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.60 : 277.56 = 169.20 : x
  2. Step 2: Convert to fraction form
    201.60/277.56 = 169.20/x
  3. Step 3: Cross multiply
    201.60x = 277.56 × 169.20
  4. Step 4: Simplify right side
    201.60x = 46,963.15
  5. Step 5: Solve for x
    x = 46,963.15/201.60
  6. Step 6: Final answer
    x = 232.95

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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.