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Finding the Fourth Proportional to 201.97, 303.29 and 125.38

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Solution

The fourth proportional to 201.97, 303.29 and 125.38 is: 188.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.97 : 303.29 = 125.38 : x
  2. Step 2: Convert to fraction form
    201.97/303.29 = 125.38/x
  3. Step 3: Cross multiply
    201.97x = 303.29 × 125.38
  4. Step 4: Simplify right side
    201.97x = 38,026.50
  5. Step 5: Solve for x
    x = 38,026.50/201.97
  6. Step 6: Final answer
    x = 188.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.