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Finding the Fourth Proportional to 201.48, 278.04 and 118.59

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Solution

The fourth proportional to 201.48, 278.04 and 118.59 is: 163.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.48 : 278.04 = 118.59 : x
  2. Step 2: Convert to fraction form
    201.48/278.04 = 118.59/x
  3. Step 3: Cross multiply
    201.48x = 278.04 × 118.59
  4. Step 4: Simplify right side
    201.48x = 32,972.76
  5. Step 5: Solve for x
    x = 32,972.76/201.48
  6. Step 6: Final answer
    x = 163.65

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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.