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Finding the Fourth Proportional to 289.15, 433.78 and 106.56

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Solution

The fourth proportional to 289.15, 433.78 and 106.56 is: 159.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.15 : 433.78 = 106.56 : x
  2. Step 2: Convert to fraction form
    289.15/433.78 = 106.56/x
  3. Step 3: Cross multiply
    289.15x = 433.78 × 106.56
  4. Step 4: Simplify right side
    289.15x = 46,223.33
  5. Step 5: Solve for x
    x = 46,223.33/289.15
  6. Step 6: Final answer
    x = 159.86

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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.