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Finding the Fourth Proportional to 190.38, 262.71 and 124.77

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Solution

The fourth proportional to 190.38, 262.71 and 124.77 is: 172.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.38 : 262.71 = 124.77 : x
  2. Step 2: Convert to fraction form
    190.38/262.71 = 124.77/x
  3. Step 3: Cross multiply
    190.38x = 262.71 × 124.77
  4. Step 4: Simplify right side
    190.38x = 32,778.33
  5. Step 5: Solve for x
    x = 32,778.33/190.38
  6. Step 6: Final answer
    x = 172.17

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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.