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Finding the Fourth Proportional to 301.77, 416.50 and 191.39

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Solution

The fourth proportional to 301.77, 416.50 and 191.39 is: 264.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.77 : 416.50 = 191.39 : x
  2. Step 2: Convert to fraction form
    301.77/416.50 = 191.39/x
  3. Step 3: Cross multiply
    301.77x = 416.50 × 191.39
  4. Step 4: Simplify right side
    301.77x = 79,713.94
  5. Step 5: Solve for x
    x = 79,713.94/301.77
  6. Step 6: Final answer
    x = 264.16

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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.