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Finding the Fourth Proportional to 190.94, 263.39 and 117.12

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Solution

The fourth proportional to 190.94, 263.39 and 117.12 is: 161.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.94 : 263.39 = 117.12 : x
  2. Step 2: Convert to fraction form
    190.94/263.39 = 117.12/x
  3. Step 3: Cross multiply
    190.94x = 263.39 × 117.12
  4. Step 4: Simplify right side
    190.94x = 30,848.24
  5. Step 5: Solve for x
    x = 30,848.24/190.94
  6. Step 6: Final answer
    x = 161.56

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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.