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Finding the Fourth Proportional to 190.54, 263.07 and 125.16

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Solution

The fourth proportional to 190.54, 263.07 and 125.16 is: 172.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.54 : 263.07 = 125.16 : x
  2. Step 2: Convert to fraction form
    190.54/263.07 = 125.16/x
  3. Step 3: Cross multiply
    190.54x = 263.07 × 125.16
  4. Step 4: Simplify right side
    190.54x = 32,924.53
  5. Step 5: Solve for x
    x = 32,924.53/190.54
  6. Step 6: Final answer
    x = 172.80

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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.