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Finding the Fourth Proportional to 290.23, 400.14 and 211.48

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Solution

The fourth proportional to 290.23, 400.14 and 211.48 is: 291.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.23 : 400.14 = 211.48 : x
  2. Step 2: Convert to fraction form
    290.23/400.14 = 211.48/x
  3. Step 3: Cross multiply
    290.23x = 400.14 × 211.48
  4. Step 4: Simplify right side
    290.23x = 84,621.61
  5. Step 5: Solve for x
    x = 84,621.61/290.23
  6. Step 6: Final answer
    x = 291.57

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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.