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Finding the Fourth Proportional to 201.34, 277.87 and 114

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Solution

The fourth proportional to 201.34, 277.87 and 114 is: 157.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.34 : 277.87 = 114 : x
  2. Step 2: Convert to fraction form
    201.34/277.87 = 114/x
  3. Step 3: Cross multiply
    201.34x = 277.87 × 114
  4. Step 4: Simplify right side
    201.34x = 31,677.18
  5. Step 5: Solve for x
    x = 31,677.18/201.34
  6. Step 6: Final answer
    x = 157.33

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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.