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Finding the Fourth Proportional to 190.50, 285.75 and 46.22

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Solution

The fourth proportional to 190.50, 285.75 and 46.22 is: 69.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.50 : 285.75 = 46.22 : x
  2. Step 2: Convert to fraction form
    190.50/285.75 = 46.22/x
  3. Step 3: Cross multiply
    190.50x = 285.75 × 46.22
  4. Step 4: Simplify right side
    190.50x = 13,207.01
  5. Step 5: Solve for x
    x = 13,207.01/190.50
  6. Step 6: Final answer
    x = 69.33

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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.