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Finding the Fourth Proportional to 201.75, 278.41 and 114.42

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Solution

The fourth proportional to 201.75, 278.41 and 114.42 is: 157.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.75 : 278.41 = 114.42 : x
  2. Step 2: Convert to fraction form
    201.75/278.41 = 114.42/x
  3. Step 3: Cross multiply
    201.75x = 278.41 × 114.42
  4. Step 4: Simplify right side
    201.75x = 31,855.67
  5. Step 5: Solve for x
    x = 31,855.67/201.75
  6. Step 6: Final answer
    x = 157.90

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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.