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Finding the Fourth Proportional to 394.06, 591.11 and 105.50

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Solution

The fourth proportional to 394.06, 591.11 and 105.50 is: 158.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.06 : 591.11 = 105.50 : x
  2. Step 2: Convert to fraction form
    394.06/591.11 = 105.50/x
  3. Step 3: Cross multiply
    394.06x = 591.11 × 105.50
  4. Step 4: Simplify right side
    394.06x = 62,362.11
  5. Step 5: Solve for x
    x = 62,362.11/394.06
  6. Step 6: Final answer
    x = 158.26

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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.