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Finding the Fourth Proportional to 223.52, 308.57 and 140.67

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Solution

The fourth proportional to 223.52, 308.57 and 140.67 is: 194.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.52 : 308.57 = 140.67 : x
  2. Step 2: Convert to fraction form
    223.52/308.57 = 140.67/x
  3. Step 3: Cross multiply
    223.52x = 308.57 × 140.67
  4. Step 4: Simplify right side
    223.52x = 43,405.84
  5. Step 5: Solve for x
    x = 43,405.84/223.52
  6. Step 6: Final answer
    x = 194.20

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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.