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Finding the Fourth Proportional to 274.52, 378.77 and 164.00

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Solution

The fourth proportional to 274.52, 378.77 and 164.00 is: 226.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.52 : 378.77 = 164.00 : x
  2. Step 2: Convert to fraction form
    274.52/378.77 = 164.00/x
  3. Step 3: Cross multiply
    274.52x = 378.77 × 164.00
  4. Step 4: Simplify right side
    274.52x = 62,118.41
  5. Step 5: Solve for x
    x = 62,118.41/274.52
  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.