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Finding the Fourth Proportional to 223.34, 308.14 and 149.67

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Solution

The fourth proportional to 223.34, 308.14 and 149.67 is: 206.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.34 : 308.14 = 149.67 : x
  2. Step 2: Convert to fraction form
    223.34/308.14 = 149.67/x
  3. Step 3: Cross multiply
    223.34x = 308.14 × 149.67
  4. Step 4: Simplify right side
    223.34x = 46,119.31
  5. Step 5: Solve for x
    x = 46,119.31/223.34
  6. Step 6: Final answer
    x = 206.50

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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.