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Finding the Fourth Proportional to 290.92, 401.07 and 212.08

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Solution

The fourth proportional to 290.92, 401.07 and 212.08 is: 292.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.92 : 401.07 = 212.08 : x
  2. Step 2: Convert to fraction form
    290.92/401.07 = 212.08/x
  3. Step 3: Cross multiply
    290.92x = 401.07 × 212.08
  4. Step 4: Simplify right side
    290.92x = 85,058.93
  5. Step 5: Solve for x
    x = 85,058.93/290.92
  6. Step 6: Final answer
    x = 292.38

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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.