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Finding the Fourth Proportional to 248.56, 370.81 and 212.26

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Solution

The fourth proportional to 248.56, 370.81 and 212.26 is: 316.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.56 : 370.81 = 212.26 : x
  2. Step 2: Convert to fraction form
    248.56/370.81 = 212.26/x
  3. Step 3: Cross multiply
    248.56x = 370.81 × 212.26
  4. Step 4: Simplify right side
    248.56x = 78,708.13
  5. Step 5: Solve for x
    x = 78,708.13/248.56
  6. Step 6: Final answer
    x = 316.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.