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Finding the Fourth Proportional to 190.08, 284.77 and 151.61

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Solution

The fourth proportional to 190.08, 284.77 and 151.61 is: 227.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.08 : 284.77 = 151.61 : x
  2. Step 2: Convert to fraction form
    190.08/284.77 = 151.61/x
  3. Step 3: Cross multiply
    190.08x = 284.77 × 151.61
  4. Step 4: Simplify right side
    190.08x = 43,173.98
  5. Step 5: Solve for x
    x = 43,173.98/190.08
  6. Step 6: Final answer
    x = 227.14

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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.