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Finding the Fourth Proportional to 190.64, 263.13 and 125.24

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Solution

The fourth proportional to 190.64, 263.13 and 125.24 is: 172.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.64 : 263.13 = 125.24 : x
  2. Step 2: Convert to fraction form
    190.64/263.13 = 125.24/x
  3. Step 3: Cross multiply
    190.64x = 263.13 × 125.24
  4. Step 4: Simplify right side
    190.64x = 32,953.56
  5. Step 5: Solve for x
    x = 32,953.56/190.64
  6. Step 6: Final answer
    x = 172.86

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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.