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Finding the Fourth Proportional to 201.12, 277.20 and 190.14

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Solution

The fourth proportional to 201.12, 277.20 and 190.14 is: 262.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.12 : 277.20 = 190.14 : x
  2. Step 2: Convert to fraction form
    201.12/277.20 = 190.14/x
  3. Step 3: Cross multiply
    201.12x = 277.20 × 190.14
  4. Step 4: Simplify right side
    201.12x = 52,706.81
  5. Step 5: Solve for x
    x = 52,706.81/201.12
  6. Step 6: Final answer
    x = 262.07

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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.