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Finding the Fourth Proportional to 301.61, 416.26 and 191.18

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Solution

The fourth proportional to 301.61, 416.26 and 191.18 is: 263.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.61 : 416.26 = 191.18 : x
  2. Step 2: Convert to fraction form
    301.61/416.26 = 191.18/x
  3. Step 3: Cross multiply
    301.61x = 416.26 × 191.18
  4. Step 4: Simplify right side
    301.61x = 79,580.59
  5. Step 5: Solve for x
    x = 79,580.59/301.61
  6. Step 6: Final answer
    x = 263.85

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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.