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Finding the Fourth Proportional to 274.34, 378.74 and 186.29

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Solution

The fourth proportional to 274.34, 378.74 and 186.29 is: 257.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.34 : 378.74 = 186.29 : x
  2. Step 2: Convert to fraction form
    274.34/378.74 = 186.29/x
  3. Step 3: Cross multiply
    274.34x = 378.74 × 186.29
  4. Step 4: Simplify right side
    274.34x = 70,553.60
  5. Step 5: Solve for x
    x = 70,553.60/274.34
  6. Step 6: Final answer
    x = 257.17

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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.