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Finding the Fourth Proportional to 301.75, 416.31 and 191.18

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Solution

The fourth proportional to 301.75, 416.31 and 191.18 is: 263.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.75 : 416.31 = 191.18 : x
  2. Step 2: Convert to fraction form
    301.75/416.31 = 191.18/x
  3. Step 3: Cross multiply
    301.75x = 416.31 × 191.18
  4. Step 4: Simplify right side
    301.75x = 79,590.15
  5. Step 5: Solve for x
    x = 79,590.15/301.75
  6. Step 6: Final answer
    x = 263.77

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