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Finding the Fourth Proportional to 306.56, 458.83 and 191.11

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Solution

The fourth proportional to 306.56, 458.83 and 191.11 is: 286.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.56 : 458.83 = 191.11 : x
  2. Step 2: Convert to fraction form
    306.56/458.83 = 191.11/x
  3. Step 3: Cross multiply
    306.56x = 458.83 × 191.11
  4. Step 4: Simplify right side
    306.56x = 87,684.71
  5. Step 5: Solve for x
    x = 87,684.71/306.56
  6. Step 6: Final answer
    x = 286.03

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Why These Related Problems?

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