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Finding the Fourth Proportional to 190.67, 262.71 and 178.79

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Solution

The fourth proportional to 190.67, 262.71 and 178.79 is: 246.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.67 : 262.71 = 178.79 : x
  2. Step 2: Convert to fraction form
    190.67/262.71 = 178.79/x
  3. Step 3: Cross multiply
    190.67x = 262.71 × 178.79
  4. Step 4: Simplify right side
    190.67x = 46,968.61
  5. Step 5: Solve for x
    x = 46,968.61/190.67
  6. Step 6: Final answer
    x = 246.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.