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Finding the Fourth Proportional to 306.87, 460.91 and 191.38

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Solution

The fourth proportional to 306.87, 460.91 and 191.38 is: 287.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.87 : 460.91 = 191.38 : x
  2. Step 2: Convert to fraction form
    306.87/460.91 = 191.38/x
  3. Step 3: Cross multiply
    306.87x = 460.91 × 191.38
  4. Step 4: Simplify right side
    306.87x = 88,208.28
  5. Step 5: Solve for x
    x = 88,208.28/306.87
  6. Step 6: Final answer
    x = 287.45

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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.