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Finding the Fourth Proportional to 201.59, 278.17 and 111.84

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Solution

The fourth proportional to 201.59, 278.17 and 111.84 is: 154.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.59 : 278.17 = 111.84 : x
  2. Step 2: Convert to fraction form
    201.59/278.17 = 111.84/x
  3. Step 3: Cross multiply
    201.59x = 278.17 × 111.84
  4. Step 4: Simplify right side
    201.59x = 31,110.53
  5. Step 5: Solve for x
    x = 31,110.53/201.59
  6. Step 6: Final answer
    x = 154.33

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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.