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Finding the Fourth Proportional to 301.50, 416.22 and 191.07

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Solution

The fourth proportional to 301.50, 416.22 and 191.07 is: 263.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.50 : 416.22 = 191.07 : x
  2. Step 2: Convert to fraction form
    301.50/416.22 = 191.07/x
  3. Step 3: Cross multiply
    301.50x = 416.22 × 191.07
  4. Step 4: Simplify right side
    301.50x = 79,527.16
  5. Step 5: Solve for x
    x = 79,527.16/301.50
  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.