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Finding the Fourth Proportional to 190.24, 284.28 and 146.08

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Solution

The fourth proportional to 190.24, 284.28 and 146.08 is: 218.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.24 : 284.28 = 146.08 : x
  2. Step 2: Convert to fraction form
    190.24/284.28 = 146.08/x
  3. Step 3: Cross multiply
    190.24x = 284.28 × 146.08
  4. Step 4: Simplify right side
    190.24x = 41,527.62
  5. Step 5: Solve for x
    x = 41,527.62/190.24
  6. Step 6: Final answer
    x = 218.29

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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.