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Finding the Fourth Proportional to 190.24, 262.36 and 146.48

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Solution

The fourth proportional to 190.24, 262.36 and 146.48 is: 202.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.24 : 262.36 = 146.48 : x
  2. Step 2: Convert to fraction form
    190.24/262.36 = 146.48/x
  3. Step 3: Cross multiply
    190.24x = 262.36 × 146.48
  4. Step 4: Simplify right side
    190.24x = 38,430.49
  5. Step 5: Solve for x
    x = 38,430.49/190.24
  6. Step 6: Final answer
    x = 202.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.