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Finding the Fourth Proportional to 223.45, 307.93 and 161.18

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Solution

The fourth proportional to 223.45, 307.93 and 161.18 is: 222.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.45 : 307.93 = 161.18 : x
  2. Step 2: Convert to fraction form
    223.45/307.93 = 161.18/x
  3. Step 3: Cross multiply
    223.45x = 307.93 × 161.18
  4. Step 4: Simplify right side
    223.45x = 49,632.16
  5. Step 5: Solve for x
    x = 49,632.16/223.45
  6. Step 6: Final answer
    x = 222.12

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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.