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Finding the Fourth Proportional to 190.27, 262.47 and 146.13

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Solution

The fourth proportional to 190.27, 262.47 and 146.13 is: 201.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.27 : 262.47 = 146.13 : x
  2. Step 2: Convert to fraction form
    190.27/262.47 = 146.13/x
  3. Step 3: Cross multiply
    190.27x = 262.47 × 146.13
  4. Step 4: Simplify right side
    190.27x = 38,354.74
  5. Step 5: Solve for x
    x = 38,354.74/190.27
  6. Step 6: Final answer
    x = 201.58

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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.