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Finding the Fourth Proportional to 201.72, 278.36 and 114.39

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Solution

The fourth proportional to 201.72, 278.36 and 114.39 is: 157.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.72 : 278.36 = 114.39 : x
  2. Step 2: Convert to fraction form
    201.72/278.36 = 114.39/x
  3. Step 3: Cross multiply
    201.72x = 278.36 × 114.39
  4. Step 4: Simplify right side
    201.72x = 31,840.21
  5. Step 5: Solve for x
    x = 31,840.21/201.72
  6. Step 6: Final answer
    x = 157.85

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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.