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Finding the Fourth Proportional to 274.51, 378.68 and 164.03

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Solution

The fourth proportional to 274.51, 378.68 and 164.03 is: 226.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.51 : 378.68 = 164.03 : x
  2. Step 2: Convert to fraction form
    274.51/378.68 = 164.03/x
  3. Step 3: Cross multiply
    274.51x = 378.68 × 164.03
  4. Step 4: Simplify right side
    274.51x = 62,114.88
  5. Step 5: Solve for x
    x = 62,114.88/274.51
  6. Step 6: Final answer
    x = 226.28

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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.