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Finding the Fourth Proportional to 201.13, 277.52 and 113.78

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Solution

The fourth proportional to 201.13, 277.52 and 113.78 is: 156.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.13 : 277.52 = 113.78 : x
  2. Step 2: Convert to fraction form
    201.13/277.52 = 113.78/x
  3. Step 3: Cross multiply
    201.13x = 277.52 × 113.78
  4. Step 4: Simplify right side
    201.13x = 31,576.23
  5. Step 5: Solve for x
    x = 31,576.23/201.13
  6. Step 6: Final answer
    x = 156.99

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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.