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Finding the Fourth Proportional to 201.42, 277.96 and 111.69

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Solution

The fourth proportional to 201.42, 277.96 and 111.69 is: 154.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.42 : 277.96 = 111.69 : x
  2. Step 2: Convert to fraction form
    201.42/277.96 = 111.69/x
  3. Step 3: Cross multiply
    201.42x = 277.96 × 111.69
  4. Step 4: Simplify right side
    201.42x = 31,044.38
  5. Step 5: Solve for x
    x = 31,044.38/201.42
  6. Step 6: Final answer
    x = 154.13

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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.