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Finding the Fourth Proportional to 228.33, 313.37 and 222.26

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Solution

The fourth proportional to 228.33, 313.37 and 222.26 is: 305.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.33 : 313.37 = 222.26 : x
  2. Step 2: Convert to fraction form
    228.33/313.37 = 222.26/x
  3. Step 3: Cross multiply
    228.33x = 313.37 × 222.26
  4. Step 4: Simplify right side
    228.33x = 69,646.94
  5. Step 5: Solve for x
    x = 69,646.94/228.33
  6. Step 6: Final answer
    x = 305.03

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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.