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Finding the Fourth Proportional to 307.07, 423.80 and 196.86

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Solution

The fourth proportional to 307.07, 423.80 and 196.86 is: 271.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.07 : 423.80 = 196.86 : x
  2. Step 2: Convert to fraction form
    307.07/423.80 = 196.86/x
  3. Step 3: Cross multiply
    307.07x = 423.80 × 196.86
  4. Step 4: Simplify right side
    307.07x = 83,430.61
  5. Step 5: Solve for x
    x = 83,430.61/307.07
  6. Step 6: Final answer
    x = 271.70

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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.