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Finding the Fourth Proportional to 228.21, 312.91 and 222.75

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Solution

The fourth proportional to 228.21, 312.91 and 222.75 is: 305.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.21 : 312.91 = 222.75 : x
  2. Step 2: Convert to fraction form
    228.21/312.91 = 222.75/x
  3. Step 3: Cross multiply
    228.21x = 312.91 × 222.75
  4. Step 4: Simplify right side
    228.21x = 69,700.70
  5. Step 5: Solve for x
    x = 69,700.70/228.21
  6. Step 6: Final answer
    x = 305.42

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.