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Finding the Fourth Proportional to 307.11, 459.63 and 191.52

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Solution

The fourth proportional to 307.11, 459.63 and 191.52 is: 286.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.11 : 459.63 = 191.52 : x
  2. Step 2: Convert to fraction form
    307.11/459.63 = 191.52/x
  3. Step 3: Cross multiply
    307.11x = 459.63 × 191.52
  4. Step 4: Simplify right side
    307.11x = 88,028.34
  5. Step 5: Solve for x
    x = 88,028.34/307.11
  6. Step 6: Final answer
    x = 286.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.