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Finding the Fourth Proportional to 222.93, 305.64 and 218.82

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Solution

The fourth proportional to 222.93, 305.64 and 218.82 is: 300.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.93 : 305.64 = 218.82 : x
  2. Step 2: Convert to fraction form
    222.93/305.64 = 218.82/x
  3. Step 3: Cross multiply
    222.93x = 305.64 × 218.82
  4. Step 4: Simplify right side
    222.93x = 66,880.14
  5. Step 5: Solve for x
    x = 66,880.14/222.93
  6. Step 6: Final answer
    x = 300.01

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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.