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Finding the Fourth Proportional to 207.68, 311.54 and 104.94

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Solution

The fourth proportional to 207.68, 311.54 and 104.94 is: 157.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.68 : 311.54 = 104.94 : x
  2. Step 2: Convert to fraction form
    207.68/311.54 = 104.94/x
  3. Step 3: Cross multiply
    207.68x = 311.54 × 104.94
  4. Step 4: Simplify right side
    207.68x = 32,693.01
  5. Step 5: Solve for x
    x = 32,693.01/207.68
  6. Step 6: Final answer
    x = 157.42

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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.