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Finding the Fourth Proportional to 331.06, 456.83 and 191.08

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Solution

The fourth proportional to 331.06, 456.83 and 191.08 is: 263.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.06 : 456.83 = 191.08 : x
  2. Step 2: Convert to fraction form
    331.06/456.83 = 191.08/x
  3. Step 3: Cross multiply
    331.06x = 456.83 × 191.08
  4. Step 4: Simplify right side
    331.06x = 87,288.79
  5. Step 5: Solve for x
    x = 87,288.79/331.06
  6. Step 6: Final answer
    x = 263.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.