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Finding the Fourth Proportional to 201.13, 277.35 and 164.17

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Solution

The fourth proportional to 201.13, 277.35 and 164.17 is: 226.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.13 : 277.35 = 164.17 : x
  2. Step 2: Convert to fraction form
    201.13/277.35 = 164.17/x
  3. Step 3: Cross multiply
    201.13x = 277.35 × 164.17
  4. Step 4: Simplify right side
    201.13x = 45,532.55
  5. Step 5: Solve for x
    x = 45,532.55/201.13
  6. Step 6: Final answer
    x = 226.38

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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.