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Finding the Fourth Proportional to 289.20, 433.56 and 180.84

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Solution

The fourth proportional to 289.20, 433.56 and 180.84 is: 271.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.20 : 433.56 = 180.84 : x
  2. Step 2: Convert to fraction form
    289.20/433.56 = 180.84/x
  3. Step 3: Cross multiply
    289.20x = 433.56 × 180.84
  4. Step 4: Simplify right side
    289.20x = 78,404.99
  5. Step 5: Solve for x
    x = 78,404.99/289.20
  6. Step 6: Final answer
    x = 271.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.