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Finding the Fourth Proportional to 289.26, 433.86 and 106.56

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Solution

The fourth proportional to 289.26, 433.86 and 106.56 is: 159.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.26 : 433.86 = 106.56 : x
  2. Step 2: Convert to fraction form
    289.26/433.86 = 106.56/x
  3. Step 3: Cross multiply
    289.26x = 433.86 × 106.56
  4. Step 4: Simplify right side
    289.26x = 46,232.12
  5. Step 5: Solve for x
    x = 46,232.12/289.26
  6. Step 6: Final answer
    x = 159.83

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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.