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Finding the Fourth Proportional to 275.40, 412.63 and 194.10

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Solution

The fourth proportional to 275.40, 412.63 and 194.10 is: 290.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.40 : 412.63 = 194.10 : x
  2. Step 2: Convert to fraction form
    275.40/412.63 = 194.10/x
  3. Step 3: Cross multiply
    275.40x = 412.63 × 194.10
  4. Step 4: Simplify right side
    275.40x = 80,091.48
  5. Step 5: Solve for x
    x = 80,091.48/275.40
  6. Step 6: Final answer
    x = 290.82

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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.