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Finding the Fourth Proportional to 222.83, 307.46 and 140.04

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Solution

The fourth proportional to 222.83, 307.46 and 140.04 is: 193.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.83 : 307.46 = 140.04 : x
  2. Step 2: Convert to fraction form
    222.83/307.46 = 140.04/x
  3. Step 3: Cross multiply
    222.83x = 307.46 × 140.04
  4. Step 4: Simplify right side
    222.83x = 43,057.05
  5. Step 5: Solve for x
    x = 43,057.05/222.83
  6. Step 6: Final answer
    x = 193.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.