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Finding the Fourth Proportional to 190.12, 284.42 and 164.72

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Solution

The fourth proportional to 190.12, 284.42 and 164.72 is: 246.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.12 : 284.42 = 164.72 : x
  2. Step 2: Convert to fraction form
    190.12/284.42 = 164.72/x
  3. Step 3: Cross multiply
    190.12x = 284.42 × 164.72
  4. Step 4: Simplify right side
    190.12x = 46,848.84
  5. Step 5: Solve for x
    x = 46,848.84/190.12
  6. Step 6: Final answer
    x = 246.42

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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.