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Finding the Fourth Proportional to 223.54, 308.57 and 149.90

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Solution

The fourth proportional to 223.54, 308.57 and 149.90 is: 206.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.54 : 308.57 = 149.90 : x
  2. Step 2: Convert to fraction form
    223.54/308.57 = 149.90/x
  3. Step 3: Cross multiply
    223.54x = 308.57 × 149.90
  4. Step 4: Simplify right side
    223.54x = 46,255.14
  5. Step 5: Solve for x
    x = 46,255.14/223.54
  6. Step 6: Final answer
    x = 206.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.