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Finding the Fourth Proportional to 289.33, 433.78 and 106.69

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Solution

The fourth proportional to 289.33, 433.78 and 106.69 is: 159.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.33 : 433.78 = 106.69 : x
  2. Step 2: Convert to fraction form
    289.33/433.78 = 106.69/x
  3. Step 3: Cross multiply
    289.33x = 433.78 × 106.69
  4. Step 4: Simplify right side
    289.33x = 46,280.66
  5. Step 5: Solve for x
    x = 46,280.66/289.33
  6. Step 6: Final answer
    x = 159.96

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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.