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Finding the Fourth Proportional to 185.11, 277.81 and 130.14

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Solution

The fourth proportional to 185.11, 277.81 and 130.14 is: 195.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.11 : 277.81 = 130.14 : x
  2. Step 2: Convert to fraction form
    185.11/277.81 = 130.14/x
  3. Step 3: Cross multiply
    185.11x = 277.81 × 130.14
  4. Step 4: Simplify right side
    185.11x = 36,153.87
  5. Step 5: Solve for x
    x = 36,153.87/185.11
  6. Step 6: Final answer
    x = 195.31

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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.