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Finding the Fourth Proportional to 194.08, 289.73 and 187.33

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Solution

The fourth proportional to 194.08, 289.73 and 187.33 is: 279.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.08 : 289.73 = 187.33 : x
  2. Step 2: Convert to fraction form
    194.08/289.73 = 187.33/x
  3. Step 3: Cross multiply
    194.08x = 289.73 × 187.33
  4. Step 4: Simplify right side
    194.08x = 54,275.12
  5. Step 5: Solve for x
    x = 54,275.12/194.08
  6. Step 6: Final answer
    x = 279.65

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.