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Finding the Fourth Proportional to 190.22, 262.50 and 102.89

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Solution

The fourth proportional to 190.22, 262.50 and 102.89 is: 141.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.22 : 262.50 = 102.89 : x
  2. Step 2: Convert to fraction form
    190.22/262.50 = 102.89/x
  3. Step 3: Cross multiply
    190.22x = 262.50 × 102.89
  4. Step 4: Simplify right side
    190.22x = 27,008.88
  5. Step 5: Solve for x
    x = 27,008.88/190.22
  6. Step 6: Final answer
    x = 141.99

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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.