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Finding the Fourth Proportional to 190.32, 284.25 and 173.31

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Solution

The fourth proportional to 190.32, 284.25 and 173.31 is: 258.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.32 : 284.25 = 173.31 : x
  2. Step 2: Convert to fraction form
    190.32/284.25 = 173.31/x
  3. Step 3: Cross multiply
    190.32x = 284.25 × 173.31
  4. Step 4: Simplify right side
    190.32x = 49,262.50
  5. Step 5: Solve for x
    x = 49,262.50/190.32
  6. Step 6: Final answer
    x = 258.84

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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.