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Finding the Fourth Proportional to 295.21, 406.97 and 212.16

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Solution

The fourth proportional to 295.21, 406.97 and 212.16 is: 292.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.21 : 406.97 = 212.16 : x
  2. Step 2: Convert to fraction form
    295.21/406.97 = 212.16/x
  3. Step 3: Cross multiply
    295.21x = 406.97 × 212.16
  4. Step 4: Simplify right side
    295.21x = 86,344.02
  5. Step 5: Solve for x
    x = 86,344.02/295.21
  6. Step 6: Final answer
    x = 292.48

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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.