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Finding the Fourth Proportional to 223.16, 308.05 and 149.50

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Solution

The fourth proportional to 223.16, 308.05 and 149.50 is: 206.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.16 : 308.05 = 149.50 : x
  2. Step 2: Convert to fraction form
    223.16/308.05 = 149.50/x
  3. Step 3: Cross multiply
    223.16x = 308.05 × 149.50
  4. Step 4: Simplify right side
    223.16x = 46,052.59
  5. Step 5: Solve for x
    x = 46,052.59/223.16
  6. Step 6: Final answer
    x = 206.37

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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.