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Finding the Fourth Proportional to 190.05, 284.69 and 141.35

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Solution

The fourth proportional to 190.05, 284.69 and 141.35 is: 211.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.05 : 284.69 = 141.35 : x
  2. Step 2: Convert to fraction form
    190.05/284.69 = 141.35/x
  3. Step 3: Cross multiply
    190.05x = 284.69 × 141.35
  4. Step 4: Simplify right side
    190.05x = 40,240.22
  5. Step 5: Solve for x
    x = 40,240.22/190.05
  6. Step 6: Final answer
    x = 211.74

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