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Finding the Fourth Proportional to 222.75, 307.12 and 143.93

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Solution

The fourth proportional to 222.75, 307.12 and 143.93 is: 198.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.75 : 307.12 = 143.93 : x
  2. Step 2: Convert to fraction form
    222.75/307.12 = 143.93/x
  3. Step 3: Cross multiply
    222.75x = 307.12 × 143.93
  4. Step 4: Simplify right side
    222.75x = 44,204.21
  5. Step 5: Solve for x
    x = 44,204.21/222.75
  6. Step 6: Final answer
    x = 198.45

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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.