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Finding the Fourth Proportional to 223.71, 308.69 and 140.67

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Solution

The fourth proportional to 223.71, 308.69 and 140.67 is: 194.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.71 : 308.69 = 140.67 : x
  2. Step 2: Convert to fraction form
    223.71/308.69 = 140.67/x
  3. Step 3: Cross multiply
    223.71x = 308.69 × 140.67
  4. Step 4: Simplify right side
    223.71x = 43,424.15
  5. Step 5: Solve for x
    x = 43,424.15/223.71
  6. Step 6: Final answer
    x = 194.11

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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.