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Finding the Fourth Proportional to 201.27, 277.81 and 114.00

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Solution

The fourth proportional to 201.27, 277.81 and 114.00 is: 157.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.27 : 277.81 = 114.00 : x
  2. Step 2: Convert to fraction form
    201.27/277.81 = 114.00/x
  3. Step 3: Cross multiply
    201.27x = 277.81 × 114.00
  4. Step 4: Simplify right side
    201.27x = 31,668.67
  5. Step 5: Solve for x
    x = 31,668.67/201.27
  6. Step 6: Final answer
    x = 157.34

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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.