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Finding the Fourth Proportional to 223.03, 307.64 and 161.00

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Solution

The fourth proportional to 223.03, 307.64 and 161.00 is: 222.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.03 : 307.64 = 161.00 : x
  2. Step 2: Convert to fraction form
    223.03/307.64 = 161.00/x
  3. Step 3: Cross multiply
    223.03x = 307.64 × 161.00
  4. Step 4: Simplify right side
    223.03x = 49,527.70
  5. Step 5: Solve for x
    x = 49,527.70/223.03
  6. Step 6: Final answer
    x = 222.07

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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.