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Finding the Fourth Proportional to 190.22, 262.16 and 146.66

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Solution

The fourth proportional to 190.22, 262.16 and 146.66 is: 202.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.22 : 262.16 = 146.66 : x
  2. Step 2: Convert to fraction form
    190.22/262.16 = 146.66/x
  3. Step 3: Cross multiply
    190.22x = 262.16 × 146.66
  4. Step 4: Simplify right side
    190.22x = 38,448.39
  5. Step 5: Solve for x
    x = 38,448.39/190.22
  6. Step 6: Final answer
    x = 202.13

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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.