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Finding the Fourth Proportional to 190.69, 285.48 and 145.22

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Solution

The fourth proportional to 190.69, 285.48 and 145.22 is: 217.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.69 : 285.48 = 145.22 : x
  2. Step 2: Convert to fraction form
    190.69/285.48 = 145.22/x
  3. Step 3: Cross multiply
    190.69x = 285.48 × 145.22
  4. Step 4: Simplify right side
    190.69x = 41,457.41
  5. Step 5: Solve for x
    x = 41,457.41/190.69
  6. Step 6: Final answer
    x = 217.41

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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.