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Finding the Fourth Proportional to 201.05, 277.36 and 142.91

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Solution

The fourth proportional to 201.05, 277.36 and 142.91 is: 197.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.05 : 277.36 = 142.91 : x
  2. Step 2: Convert to fraction form
    201.05/277.36 = 142.91/x
  3. Step 3: Cross multiply
    201.05x = 277.36 × 142.91
  4. Step 4: Simplify right side
    201.05x = 39,637.52
  5. Step 5: Solve for x
    x = 39,637.52/201.05
  6. Step 6: Final answer
    x = 197.15

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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.