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Finding the Fourth Proportional to 295.48, 408.26 and 212.42

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Solution

The fourth proportional to 295.48, 408.26 and 212.42 is: 293.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.48 : 408.26 = 212.42 : x
  2. Step 2: Convert to fraction form
    295.48/408.26 = 212.42/x
  3. Step 3: Cross multiply
    295.48x = 408.26 × 212.42
  4. Step 4: Simplify right side
    295.48x = 86,720.51
  5. Step 5: Solve for x
    x = 86,720.51/295.48
  6. Step 6: Final answer
    x = 293.49

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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.