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Finding the Fourth Proportional to 201.09, 277.53 and 164.19

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Solution

The fourth proportional to 201.09, 277.53 and 164.19 is: 226.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.09 : 277.53 = 164.19 : x
  2. Step 2: Convert to fraction form
    201.09/277.53 = 164.19/x
  3. Step 3: Cross multiply
    201.09x = 277.53 × 164.19
  4. Step 4: Simplify right side
    201.09x = 45,567.65
  5. Step 5: Solve for x
    x = 45,567.65/201.09
  6. Step 6: Final answer
    x = 226.60

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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.