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Finding the Fourth Proportional to 207.04, 311.16 and 191.94

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Solution

The fourth proportional to 207.04, 311.16 and 191.94 is: 288.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.04 : 311.16 = 191.94 : x
  2. Step 2: Convert to fraction form
    207.04/311.16 = 191.94/x
  3. Step 3: Cross multiply
    207.04x = 311.16 × 191.94
  4. Step 4: Simplify right side
    207.04x = 59,724.05
  5. Step 5: Solve for x
    x = 59,724.05/207.04
  6. Step 6: Final answer
    x = 288.47

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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.