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Finding the Fourth Proportional to 274.28, 378.54 and 174.68

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Solution

The fourth proportional to 274.28, 378.54 and 174.68 is: 241.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.28 : 378.54 = 174.68 : x
  2. Step 2: Convert to fraction form
    274.28/378.54 = 174.68/x
  3. Step 3: Cross multiply
    274.28x = 378.54 × 174.68
  4. Step 4: Simplify right side
    274.28x = 66,123.37
  5. Step 5: Solve for x
    x = 66,123.37/274.28
  6. Step 6: Final answer
    x = 241.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.