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Finding the Fourth Proportional to 289.52, 433.97 and 181.34

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Solution

The fourth proportional to 289.52, 433.97 and 181.34 is: 271.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.52 : 433.97 = 181.34 : x
  2. Step 2: Convert to fraction form
    289.52/433.97 = 181.34/x
  3. Step 3: Cross multiply
    289.52x = 433.97 × 181.34
  4. Step 4: Simplify right side
    289.52x = 78,695.21
  5. Step 5: Solve for x
    x = 78,695.21/289.52
  6. Step 6: Final answer
    x = 271.81

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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.