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Finding the Fourth Proportional to 190.03, 285.19 and 146.81

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Solution

The fourth proportional to 190.03, 285.19 and 146.81 is: 220.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.03 : 285.19 = 146.81 : x
  2. Step 2: Convert to fraction form
    190.03/285.19 = 146.81/x
  3. Step 3: Cross multiply
    190.03x = 285.19 × 146.81
  4. Step 4: Simplify right side
    190.03x = 41,867.66
  5. Step 5: Solve for x
    x = 41,867.66/190.03
  6. Step 6: Final answer
    x = 220.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.