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Finding the Fourth Proportional to 274.64, 378.84 and 174.87

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Solution

The fourth proportional to 274.64, 378.84 and 174.87 is: 241.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.64 : 378.84 = 174.87 : x
  2. Step 2: Convert to fraction form
    274.64/378.84 = 174.87/x
  3. Step 3: Cross multiply
    274.64x = 378.84 × 174.87
  4. Step 4: Simplify right side
    274.64x = 66,247.10
  5. Step 5: Solve for x
    x = 66,247.10/274.64
  6. Step 6: Final answer
    x = 241.22

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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.