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Finding the Fourth Proportional to 190.32, 263.94 and 184.38

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Solution

The fourth proportional to 190.32, 263.94 and 184.38 is: 255.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.32 : 263.94 = 184.38 : x
  2. Step 2: Convert to fraction form
    190.32/263.94 = 184.38/x
  3. Step 3: Cross multiply
    190.32x = 263.94 × 184.38
  4. Step 4: Simplify right side
    190.32x = 48,665.26
  5. Step 5: Solve for x
    x = 48,665.26/190.32
  6. Step 6: Final answer
    x = 255.70

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.