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Finding the Fourth Proportional to 223.85, 309.02 and 139.85

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Solution

The fourth proportional to 223.85, 309.02 and 139.85 is: 193.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.85 : 309.02 = 139.85 : x
  2. Step 2: Convert to fraction form
    223.85/309.02 = 139.85/x
  3. Step 3: Cross multiply
    223.85x = 309.02 × 139.85
  4. Step 4: Simplify right side
    223.85x = 43,215.25
  5. Step 5: Solve for x
    x = 43,215.25/223.85
  6. Step 6: Final answer
    x = 193.06

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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.