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Finding the Fourth Proportional to 343.80, 474.44 and 186.43

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Solution

The fourth proportional to 343.80, 474.44 and 186.43 is: 257.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.80 : 474.44 = 186.43 : x
  2. Step 2: Convert to fraction form
    343.80/474.44 = 186.43/x
  3. Step 3: Cross multiply
    343.80x = 474.44 × 186.43
  4. Step 4: Simplify right side
    343.80x = 88,448.66
  5. Step 5: Solve for x
    x = 88,448.66/343.80
  6. Step 6: Final answer
    x = 257.27

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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.