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Finding the Fourth Proportional to 376.94, 564.99 and 194.09

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Solution

The fourth proportional to 376.94, 564.99 and 194.09 is: 290.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.94 : 564.99 = 194.09 : x
  2. Step 2: Convert to fraction form
    376.94/564.99 = 194.09/x
  3. Step 3: Cross multiply
    376.94x = 564.99 × 194.09
  4. Step 4: Simplify right side
    376.94x = 109,656.08
  5. Step 5: Solve for x
    x = 109,656.08/376.94
  6. Step 6: Final answer
    x = 290.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.