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Finding the Fourth Proportional to 250.90, 345.96 and 219.76

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Solution

The fourth proportional to 250.90, 345.96 and 219.76 is: 303.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.90 : 345.96 = 219.76 : x
  2. Step 2: Convert to fraction form
    250.90/345.96 = 219.76/x
  3. Step 3: Cross multiply
    250.90x = 345.96 × 219.76
  4. Step 4: Simplify right side
    250.90x = 76,028.17
  5. Step 5: Solve for x
    x = 76,028.17/250.90
  6. Step 6: Final answer
    x = 303.02

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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.