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Finding the Fourth Proportional to 190.03, 262.20 and 145.82

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Solution

The fourth proportional to 190.03, 262.20 and 145.82 is: 201.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.03 : 262.20 = 145.82 : x
  2. Step 2: Convert to fraction form
    190.03/262.20 = 145.82/x
  3. Step 3: Cross multiply
    190.03x = 262.20 × 145.82
  4. Step 4: Simplify right side
    190.03x = 38,234.00
  5. Step 5: Solve for x
    x = 38,234.00/190.03
  6. Step 6: Final answer
    x = 201.20

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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.