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Finding the Fourth Proportional to 201.15, 277.02 and 164.16

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Solution

The fourth proportional to 201.15, 277.02 and 164.16 is: 226.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.15 : 277.02 = 164.16 : x
  2. Step 2: Convert to fraction form
    201.15/277.02 = 164.16/x
  3. Step 3: Cross multiply
    201.15x = 277.02 × 164.16
  4. Step 4: Simplify right side
    201.15x = 45,475.60
  5. Step 5: Solve for x
    x = 45,475.60/201.15
  6. Step 6: Final answer
    x = 226.08

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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.