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Finding the Fourth Proportional to 289.44, 399.49 and 184.50

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Solution

The fourth proportional to 289.44, 399.49 and 184.50 is: 254.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.44 : 399.49 = 184.50 : x
  2. Step 2: Convert to fraction form
    289.44/399.49 = 184.50/x
  3. Step 3: Cross multiply
    289.44x = 399.49 × 184.50
  4. Step 4: Simplify right side
    289.44x = 73,707.09
  5. Step 5: Solve for x
    x = 73,707.09/289.44
  6. Step 6: Final answer
    x = 254.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.