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Finding the Fourth Proportional to 201.10, 277.67 and 164.65

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Solution

The fourth proportional to 201.10, 277.67 and 164.65 is: 227.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.10 : 277.67 = 164.65 : x
  2. Step 2: Convert to fraction form
    201.10/277.67 = 164.65/x
  3. Step 3: Cross multiply
    201.10x = 277.67 × 164.65
  4. Step 4: Simplify right side
    201.10x = 45,718.37
  5. Step 5: Solve for x
    x = 45,718.37/201.10
  6. Step 6: Final answer
    x = 227.34

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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.