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Finding the Fourth Proportional to 222.99, 307.76 and 161.03

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Solution

The fourth proportional to 222.99, 307.76 and 161.03 is: 222.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.99 : 307.76 = 161.03 : x
  2. Step 2: Convert to fraction form
    222.99/307.76 = 161.03/x
  3. Step 3: Cross multiply
    222.99x = 307.76 × 161.03
  4. Step 4: Simplify right side
    222.99x = 49,558.59
  5. Step 5: Solve for x
    x = 49,558.59/222.99
  6. Step 6: Final answer
    x = 222.25

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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.