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Finding the Fourth Proportional to 201.48, 278.00 and 118.56

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Solution

The fourth proportional to 201.48, 278.00 and 118.56 is: 163.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.48 : 278.00 = 118.56 : x
  2. Step 2: Convert to fraction form
    201.48/278.00 = 118.56/x
  3. Step 3: Cross multiply
    201.48x = 278.00 × 118.56
  4. Step 4: Simplify right side
    201.48x = 32,958.79
  5. Step 5: Solve for x
    x = 32,958.79/201.48
  6. Step 6: Final answer
    x = 163.58

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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.