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Finding the Fourth Proportional to 394.16, 591.26 and 105.60

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Solution

The fourth proportional to 394.16, 591.26 and 105.60 is: 158.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.16 : 591.26 = 105.60 : x
  2. Step 2: Convert to fraction form
    394.16/591.26 = 105.60/x
  3. Step 3: Cross multiply
    394.16x = 591.26 × 105.60
  4. Step 4: Simplify right side
    394.16x = 62,437.06
  5. Step 5: Solve for x
    x = 62,437.06/394.16
  6. Step 6: Final answer
    x = 158.41

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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.