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Finding the Fourth Proportional to 223, 307.70 and 140.08

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Solution

The fourth proportional to 223, 307.70 and 140.08 is: 193.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    223 : 307.70 = 140.08 : x
  2. Step 2: Convert to fraction form
    223/307.70 = 140.08/x
  3. Step 3: Cross multiply
    223x = 307.70 × 140.08
  4. Step 4: Simplify right side
    223x = 43,102.62
  5. Step 5: Solve for x
    x = 43,102.62/223
  6. Step 6: Final answer
    x = 193.29

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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.