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Finding the Fourth Proportional to 201.54, 278.14 and 118.67

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Solution

The fourth proportional to 201.54, 278.14 and 118.67 is: 163.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.54 : 278.14 = 118.67 : x
  2. Step 2: Convert to fraction form
    201.54/278.14 = 118.67/x
  3. Step 3: Cross multiply
    201.54x = 278.14 × 118.67
  4. Step 4: Simplify right side
    201.54x = 33,006.87
  5. Step 5: Solve for x
    x = 33,006.87/201.54
  6. Step 6: Final answer
    x = 163.77

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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.