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Finding the Fourth Proportional to 289.54, 434.34 and 181.44

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Solution

The fourth proportional to 289.54, 434.34 and 181.44 is: 272.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.54 : 434.34 = 181.44 : x
  2. Step 2: Convert to fraction form
    289.54/434.34 = 181.44/x
  3. Step 3: Cross multiply
    289.54x = 434.34 × 181.44
  4. Step 4: Simplify right side
    289.54x = 78,806.65
  5. Step 5: Solve for x
    x = 78,806.65/289.54
  6. Step 6: Final answer
    x = 272.18

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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.