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Finding the Fourth Proportional to 190.72, 284.96 and 181.76

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Solution

The fourth proportional to 190.72, 284.96 and 181.76 is: 271.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.72 : 284.96 = 181.76 : x
  2. Step 2: Convert to fraction form
    190.72/284.96 = 181.76/x
  3. Step 3: Cross multiply
    190.72x = 284.96 × 181.76
  4. Step 4: Simplify right side
    190.72x = 51,794.33
  5. Step 5: Solve for x
    x = 51,794.33/190.72
  6. Step 6: Final answer
    x = 271.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.