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Finding the Fourth Proportional to 190.96, 263.44 and 117.24

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Solution

The fourth proportional to 190.96, 263.44 and 117.24 is: 161.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.96 : 263.44 = 117.24 : x
  2. Step 2: Convert to fraction form
    190.96/263.44 = 117.24/x
  3. Step 3: Cross multiply
    190.96x = 263.44 × 117.24
  4. Step 4: Simplify right side
    190.96x = 30,885.71
  5. Step 5: Solve for x
    x = 30,885.71/190.96
  6. Step 6: Final answer
    x = 161.74

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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.