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Finding the Fourth Proportional to 223.84, 309.00 and 149.27

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Solution

The fourth proportional to 223.84, 309.00 and 149.27 is: 206.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.84 : 309.00 = 149.27 : x
  2. Step 2: Convert to fraction form
    223.84/309.00 = 149.27/x
  3. Step 3: Cross multiply
    223.84x = 309.00 × 149.27
  4. Step 4: Simplify right side
    223.84x = 46,124.24
  5. Step 5: Solve for x
    x = 46,124.24/223.84
  6. Step 6: Final answer
    x = 206.06

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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.