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Finding the Fourth Proportional to 222.63, 334.05 and 85.71

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Solution

The fourth proportional to 222.63, 334.05 and 85.71 is: 128.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.63 : 334.05 = 85.71 : x
  2. Step 2: Convert to fraction form
    222.63/334.05 = 85.71/x
  3. Step 3: Cross multiply
    222.63x = 334.05 × 85.71
  4. Step 4: Simplify right side
    222.63x = 28,629.85
  5. Step 5: Solve for x
    x = 28,629.85/222.63
  6. Step 6: Final answer
    x = 128.60

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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.