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Finding the Fourth Proportional to 190.24, 284.02 and 164.46

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Solution

The fourth proportional to 190.24, 284.02 and 164.46 is: 245.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.24 : 284.02 = 164.46 : x
  2. Step 2: Convert to fraction form
    190.24/284.02 = 164.46/x
  3. Step 3: Cross multiply
    190.24x = 284.02 × 164.46
  4. Step 4: Simplify right side
    190.24x = 46,709.93
  5. Step 5: Solve for x
    x = 46,709.93/190.24
  6. Step 6: Final answer
    x = 245.53

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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.