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Finding the Fourth Proportional to 274.86, 379.10 and 164.30

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Solution

The fourth proportional to 274.86, 379.10 and 164.30 is: 226.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.86 : 379.10 = 164.30 : x
  2. Step 2: Convert to fraction form
    274.86/379.10 = 164.30/x
  3. Step 3: Cross multiply
    274.86x = 379.10 × 164.30
  4. Step 4: Simplify right side
    274.86x = 62,284.65
  5. Step 5: Solve for x
    x = 62,284.65/274.86
  6. Step 6: Final answer
    x = 226.60

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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.