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Finding the Fourth Proportional to 275.19, 379.91 and 211.65

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Solution

The fourth proportional to 275.19, 379.91 and 211.65 is: 292.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.19 : 379.91 = 211.65 : x
  2. Step 2: Convert to fraction form
    275.19/379.91 = 211.65/x
  3. Step 3: Cross multiply
    275.19x = 379.91 × 211.65
  4. Step 4: Simplify right side
    275.19x = 80,406.89
  5. Step 5: Solve for x
    x = 80,406.89/275.19
  6. Step 6: Final answer
    x = 292.19

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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.