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Finding the Fourth Proportional to 201.02, 277.17 and 164.06

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Solution

The fourth proportional to 201.02, 277.17 and 164.06 is: 226.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.02 : 277.17 = 164.06 : x
  2. Step 2: Convert to fraction form
    201.02/277.17 = 164.06/x
  3. Step 3: Cross multiply
    201.02x = 277.17 × 164.06
  4. Step 4: Simplify right side
    201.02x = 45,472.51
  5. Step 5: Solve for x
    x = 45,472.51/201.02
  6. Step 6: Final answer
    x = 226.21

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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.