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Finding the Fourth Proportional to 190.83, 263.20 and 134.90

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Solution

The fourth proportional to 190.83, 263.20 and 134.90 is: 186.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.83 : 263.20 = 134.90 : x
  2. Step 2: Convert to fraction form
    190.83/263.20 = 134.90/x
  3. Step 3: Cross multiply
    190.83x = 263.20 × 134.90
  4. Step 4: Simplify right side
    190.83x = 35,505.68
  5. Step 5: Solve for x
    x = 35,505.68/190.83
  6. Step 6: Final answer
    x = 186.06

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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.