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Finding the Fourth Proportional to 301.43, 416.02 and 190.92

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Solution

The fourth proportional to 301.43, 416.02 and 190.92 is: 263.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.43 : 416.02 = 190.92 : x
  2. Step 2: Convert to fraction form
    301.43/416.02 = 190.92/x
  3. Step 3: Cross multiply
    301.43x = 416.02 × 190.92
  4. Step 4: Simplify right side
    301.43x = 79,425.43
  5. Step 5: Solve for x
    x = 79,425.43/301.43
  6. Step 6: Final answer
    x = 263.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.