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Finding the Fourth Proportional to 222.87, 334.14 and 105.69

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Solution

The fourth proportional to 222.87, 334.14 and 105.69 is: 158.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.87 : 334.14 = 105.69 : x
  2. Step 2: Convert to fraction form
    222.87/334.14 = 105.69/x
  3. Step 3: Cross multiply
    222.87x = 334.14 × 105.69
  4. Step 4: Simplify right side
    222.87x = 35,315.26
  5. Step 5: Solve for x
    x = 35,315.26/222.87
  6. Step 6: Final answer
    x = 158.46

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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.