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Finding the Fourth Proportional to 190.53, 262.94 and 112.95

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Solution

The fourth proportional to 190.53, 262.94 and 112.95 is: 155.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.53 : 262.94 = 112.95 : x
  2. Step 2: Convert to fraction form
    190.53/262.94 = 112.95/x
  3. Step 3: Cross multiply
    190.53x = 262.94 × 112.95
  4. Step 4: Simplify right side
    190.53x = 29,698.51
  5. Step 5: Solve for x
    x = 29,698.51/190.53
  6. Step 6: Final answer
    x = 155.87

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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.