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Finding the Fourth Proportional to 301.86, 416.75 and 191.50

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Solution

The fourth proportional to 301.86, 416.75 and 191.50 is: 264.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.86 : 416.75 = 191.50 : x
  2. Step 2: Convert to fraction form
    301.86/416.75 = 191.50/x
  3. Step 3: Cross multiply
    301.86x = 416.75 × 191.50
  4. Step 4: Simplify right side
    301.86x = 79,805.63
  5. Step 5: Solve for x
    x = 79,805.63/301.86
  6. Step 6: Final answer
    x = 264.38

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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.