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Finding the Fourth Proportional to 201.14, 277.57 and 113.83

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Solution

The fourth proportional to 201.14, 277.57 and 113.83 is: 157.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.14 : 277.57 = 113.83 : x
  2. Step 2: Convert to fraction form
    201.14/277.57 = 113.83/x
  3. Step 3: Cross multiply
    201.14x = 277.57 × 113.83
  4. Step 4: Simplify right side
    201.14x = 31,595.79
  5. Step 5: Solve for x
    x = 31,595.79/201.14
  6. Step 6: Final answer
    x = 157.08

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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.