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Finding the Fourth Proportional to 207.78, 311.91 and 164.59

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Solution

The fourth proportional to 207.78, 311.91 and 164.59 is: 247.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.78 : 311.91 = 164.59 : x
  2. Step 2: Convert to fraction form
    207.78/311.91 = 164.59/x
  3. Step 3: Cross multiply
    207.78x = 311.91 × 164.59
  4. Step 4: Simplify right side
    207.78x = 51,337.27
  5. Step 5: Solve for x
    x = 51,337.27/207.78
  6. Step 6: Final answer
    x = 247.08

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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.