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Finding the Fourth Proportional to 190.23, 284.06 and 165.39

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Solution

The fourth proportional to 190.23, 284.06 and 165.39 is: 246.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.23 : 284.06 = 165.39 : x
  2. Step 2: Convert to fraction form
    190.23/284.06 = 165.39/x
  3. Step 3: Cross multiply
    190.23x = 284.06 × 165.39
  4. Step 4: Simplify right side
    190.23x = 46,979.86
  5. Step 5: Solve for x
    x = 46,979.86/190.23
  6. Step 6: Final answer
    x = 246.96

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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.