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Finding the Fourth Proportional to 307.07, 423.45 and 196.50

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Solution

The fourth proportional to 307.07, 423.45 and 196.50 is: 270.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.07 : 423.45 = 196.50 : x
  2. Step 2: Convert to fraction form
    307.07/423.45 = 196.50/x
  3. Step 3: Cross multiply
    307.07x = 423.45 × 196.50
  4. Step 4: Simplify right side
    307.07x = 83,206.94
  5. Step 5: Solve for x
    x = 83,206.94/307.07
  6. Step 6: Final answer
    x = 270.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.