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Finding the Fourth Proportional to 190.15, 284.46 and 164.76

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Solution

The fourth proportional to 190.15, 284.46 and 164.76 is: 246.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.15 : 284.46 = 164.76 : x
  2. Step 2: Convert to fraction form
    190.15/284.46 = 164.76/x
  3. Step 3: Cross multiply
    190.15x = 284.46 × 164.76
  4. Step 4: Simplify right side
    190.15x = 46,867.63
  5. Step 5: Solve for x
    x = 46,867.63/190.15
  6. Step 6: Final answer
    x = 246.48

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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.