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Finding the Fourth Proportional to 190.63, 263.06 and 103.30

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Solution

The fourth proportional to 190.63, 263.06 and 103.30 is: 142.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.63 : 263.06 = 103.30 : x
  2. Step 2: Convert to fraction form
    190.63/263.06 = 103.30/x
  3. Step 3: Cross multiply
    190.63x = 263.06 × 103.30
  4. Step 4: Simplify right side
    190.63x = 27,174.10
  5. Step 5: Solve for x
    x = 27,174.10/190.63
  6. Step 6: Final answer
    x = 142.55

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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.