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Finding the Fourth Proportional to 201.64, 278.34 and 118.75

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Solution

The fourth proportional to 201.64, 278.34 and 118.75 is: 163.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.64 : 278.34 = 118.75 : x
  2. Step 2: Convert to fraction form
    201.64/278.34 = 118.75/x
  3. Step 3: Cross multiply
    201.64x = 278.34 × 118.75
  4. Step 4: Simplify right side
    201.64x = 33,051.59
  5. Step 5: Solve for x
    x = 33,051.59/201.64
  6. Step 6: Final answer
    x = 163.92

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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.