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Finding the Fourth Proportional to 190.75, 263.05 and 125.23

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Solution

The fourth proportional to 190.75, 263.05 and 125.23 is: 172.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.75 : 263.05 = 125.23 : x
  2. Step 2: Convert to fraction form
    190.75/263.05 = 125.23/x
  3. Step 3: Cross multiply
    190.75x = 263.05 × 125.23
  4. Step 4: Simplify right side
    190.75x = 32,941.75
  5. Step 5: Solve for x
    x = 32,941.75/190.75
  6. Step 6: Final answer
    x = 172.70

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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.