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Finding the Fourth Proportional to 190.86, 263.46 and 117.24

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Solution

The fourth proportional to 190.86, 263.46 and 117.24 is: 161.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.86 : 263.46 = 117.24 : x
  2. Step 2: Convert to fraction form
    190.86/263.46 = 117.24/x
  3. Step 3: Cross multiply
    190.86x = 263.46 × 117.24
  4. Step 4: Simplify right side
    190.86x = 30,888.05
  5. Step 5: Solve for x
    x = 30,888.05/190.86
  6. Step 6: Final answer
    x = 161.84

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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.