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Finding the Fourth Proportional to 201.69, 278.34 and 114.37

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Solution

The fourth proportional to 201.69, 278.34 and 114.37 is: 157.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.69 : 278.34 = 114.37 : x
  2. Step 2: Convert to fraction form
    201.69/278.34 = 114.37/x
  3. Step 3: Cross multiply
    201.69x = 278.34 × 114.37
  4. Step 4: Simplify right side
    201.69x = 31,833.75
  5. Step 5: Solve for x
    x = 31,833.75/201.69
  6. Step 6: Final answer
    x = 157.84

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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.