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Finding the Fourth Proportional to 250.76, 345.22 and 216.04

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Solution

The fourth proportional to 250.76, 345.22 and 216.04 is: 297.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.76 : 345.22 = 216.04 : x
  2. Step 2: Convert to fraction form
    250.76/345.22 = 216.04/x
  3. Step 3: Cross multiply
    250.76x = 345.22 × 216.04
  4. Step 4: Simplify right side
    250.76x = 74,581.33
  5. Step 5: Solve for x
    x = 74,581.33/250.76
  6. Step 6: Final answer
    x = 297.42

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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.