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Finding the Fourth Proportional to 201.53, 301.93 and 178.94

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Solution

The fourth proportional to 201.53, 301.93 and 178.94 is: 268.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.53 : 301.93 = 178.94 : x
  2. Step 2: Convert to fraction form
    201.53/301.93 = 178.94/x
  3. Step 3: Cross multiply
    201.53x = 301.93 × 178.94
  4. Step 4: Simplify right side
    201.53x = 54,027.35
  5. Step 5: Solve for x
    x = 54,027.35/201.53
  6. Step 6: Final answer
    x = 268.09

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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.