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Finding the Fourth Proportional to 254.65, 351.26 and 213.41

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Solution

The fourth proportional to 254.65, 351.26 and 213.41 is: 294.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.65 : 351.26 = 213.41 : x
  2. Step 2: Convert to fraction form
    254.65/351.26 = 213.41/x
  3. Step 3: Cross multiply
    254.65x = 351.26 × 213.41
  4. Step 4: Simplify right side
    254.65x = 74,962.40
  5. Step 5: Solve for x
    x = 74,962.40/254.65
  6. Step 6: Final answer
    x = 294.37

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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.