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Finding the Fourth Proportional to 275.04, 411.48 and 194.04

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Solution

The fourth proportional to 275.04, 411.48 and 194.04 is: 290.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.04 : 411.48 = 194.04 : x
  2. Step 2: Convert to fraction form
    275.04/411.48 = 194.04/x
  3. Step 3: Cross multiply
    275.04x = 411.48 × 194.04
  4. Step 4: Simplify right side
    275.04x = 79,843.58
  5. Step 5: Solve for x
    x = 79,843.58/275.04
  6. Step 6: Final answer
    x = 290.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.