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Finding the Fourth Proportional to 190.34, 262.41 and 146.13

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Solution

The fourth proportional to 190.34, 262.41 and 146.13 is: 201.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.34 : 262.41 = 146.13 : x
  2. Step 2: Convert to fraction form
    190.34/262.41 = 146.13/x
  3. Step 3: Cross multiply
    190.34x = 262.41 × 146.13
  4. Step 4: Simplify right side
    190.34x = 38,345.97
  5. Step 5: Solve for x
    x = 38,345.97/190.34
  6. Step 6: Final answer
    x = 201.46

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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.