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Finding the Fourth Proportional to 207.04, 308.76 and 196.24

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Solution

The fourth proportional to 207.04, 308.76 and 196.24 is: 292.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.04 : 308.76 = 196.24 : x
  2. Step 2: Convert to fraction form
    207.04/308.76 = 196.24/x
  3. Step 3: Cross multiply
    207.04x = 308.76 × 196.24
  4. Step 4: Simplify right side
    207.04x = 60,591.06
  5. Step 5: Solve for x
    x = 60,591.06/207.04
  6. Step 6: Final answer
    x = 292.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.