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Finding the Fourth Proportional to 194.08, 289.56 and 184.90

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Solution

The fourth proportional to 194.08, 289.56 and 184.90 is: 275.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.08 : 289.56 = 184.90 : x
  2. Step 2: Convert to fraction form
    194.08/289.56 = 184.90/x
  3. Step 3: Cross multiply
    194.08x = 289.56 × 184.90
  4. Step 4: Simplify right side
    194.08x = 53,539.64
  5. Step 5: Solve for x
    x = 53,539.64/194.08
  6. Step 6: Final answer
    x = 275.86

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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.