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Finding the Fourth Proportional to 190.05, 262.34 and 146.51

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Solution

The fourth proportional to 190.05, 262.34 and 146.51 is: 202.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.05 : 262.34 = 146.51 : x
  2. Step 2: Convert to fraction form
    190.05/262.34 = 146.51/x
  3. Step 3: Cross multiply
    190.05x = 262.34 × 146.51
  4. Step 4: Simplify right side
    190.05x = 38,435.43
  5. Step 5: Solve for x
    x = 38,435.43/190.05
  6. Step 6: Final answer
    x = 202.24

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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.