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Finding the Fourth Proportional to 201.71, 278.37 and 113.18

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Solution

The fourth proportional to 201.71, 278.37 and 113.18 is: 156.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.71 : 278.37 = 113.18 : x
  2. Step 2: Convert to fraction form
    201.71/278.37 = 113.18/x
  3. Step 3: Cross multiply
    201.71x = 278.37 × 113.18
  4. Step 4: Simplify right side
    201.71x = 31,505.35
  5. Step 5: Solve for x
    x = 31,505.35/201.71
  6. Step 6: Final answer
    x = 156.20

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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.