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Finding the Fourth Proportional to 190.93, 263.46 and 117.23

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Solution

The fourth proportional to 190.93, 263.46 and 117.23 is: 161.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.93 : 263.46 = 117.23 : x
  2. Step 2: Convert to fraction form
    190.93/263.46 = 117.23/x
  3. Step 3: Cross multiply
    190.93x = 263.46 × 117.23
  4. Step 4: Simplify right side
    190.93x = 30,885.42
  5. Step 5: Solve for x
    x = 30,885.42/190.93
  6. Step 6: Final answer
    x = 161.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.