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Finding the Fourth Proportional to 201.60, 278.22 and 114.28

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Solution

The fourth proportional to 201.60, 278.22 and 114.28 is: 157.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.60 : 278.22 = 114.28 : x
  2. Step 2: Convert to fraction form
    201.60/278.22 = 114.28/x
  3. Step 3: Cross multiply
    201.60x = 278.22 × 114.28
  4. Step 4: Simplify right side
    201.60x = 31,793.02
  5. Step 5: Solve for x
    x = 31,793.02/201.60
  6. Step 6: Final answer
    x = 157.70

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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.