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Finding the Fourth Proportional to 201.26, 301.15 and 178.16

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Solution

The fourth proportional to 201.26, 301.15 and 178.16 is: 266.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.26 : 301.15 = 178.16 : x
  2. Step 2: Convert to fraction form
    201.26/301.15 = 178.16/x
  3. Step 3: Cross multiply
    201.26x = 301.15 × 178.16
  4. Step 4: Simplify right side
    201.26x = 53,652.88
  5. Step 5: Solve for x
    x = 53,652.88/201.26
  6. Step 6: Final answer
    x = 266.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.