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Finding the Fourth Proportional to 307.05, 459.50 and 191.49

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Solution

The fourth proportional to 307.05, 459.50 and 191.49 is: 286.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.05 : 459.50 = 191.49 : x
  2. Step 2: Convert to fraction form
    307.05/459.50 = 191.49/x
  3. Step 3: Cross multiply
    307.05x = 459.50 × 191.49
  4. Step 4: Simplify right side
    307.05x = 87,988.70
  5. Step 5: Solve for x
    x = 87,988.70/307.05
  6. Step 6: Final answer
    x = 286.56

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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.