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Finding the Fourth Proportional to 207.83, 311.78 and 105.02

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Solution

The fourth proportional to 207.83, 311.78 and 105.02 is: 157.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.83 : 311.78 = 105.02 : x
  2. Step 2: Convert to fraction form
    207.83/311.78 = 105.02/x
  3. Step 3: Cross multiply
    207.83x = 311.78 × 105.02
  4. Step 4: Simplify right side
    207.83x = 32,741.84
  5. Step 5: Solve for x
    x = 32,741.84/207.83
  6. Step 6: Final answer
    x = 157.54

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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.