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Finding the Fourth Proportional to 366.26, 505.42 and 211

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Solution

The fourth proportional to 366.26, 505.42 and 211 is: 291.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.26 : 505.42 = 211 : x
  2. Step 2: Convert to fraction form
    366.26/505.42 = 211/x
  3. Step 3: Cross multiply
    366.26x = 505.42 × 211
  4. Step 4: Simplify right side
    366.26x = 106,643.62
  5. Step 5: Solve for x
    x = 106,643.62/366.26
  6. Step 6: Final answer
    x = 291.17

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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.