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Finding the Fourth Proportional to 274.47, 378.64 and 181.08

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Solution

The fourth proportional to 274.47, 378.64 and 181.08 is: 249.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.47 : 378.64 = 181.08 : x
  2. Step 2: Convert to fraction form
    274.47/378.64 = 181.08/x
  3. Step 3: Cross multiply
    274.47x = 378.64 × 181.08
  4. Step 4: Simplify right side
    274.47x = 68,564.13
  5. Step 5: Solve for x
    x = 68,564.13/274.47
  6. Step 6: Final answer
    x = 249.81

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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.