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Finding the Fourth Proportional to 222.59, 331.71 and 222.24

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Solution

The fourth proportional to 222.59, 331.71 and 222.24 is: 331.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.59 : 331.71 = 222.24 : x
  2. Step 2: Convert to fraction form
    222.59/331.71 = 222.24/x
  3. Step 3: Cross multiply
    222.59x = 331.71 × 222.24
  4. Step 4: Simplify right side
    222.59x = 73,719.23
  5. Step 5: Solve for x
    x = 73,719.23/222.59
  6. Step 6: Final answer
    x = 331.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.