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Finding the Fourth Proportional to 250.16, 344.96 and 222.82

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Solution

The fourth proportional to 250.16, 344.96 and 222.82 is: 307.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.16 : 344.96 = 222.82 : x
  2. Step 2: Convert to fraction form
    250.16/344.96 = 222.82/x
  3. Step 3: Cross multiply
    250.16x = 344.96 × 222.82
  4. Step 4: Simplify right side
    250.16x = 76,862.85
  5. Step 5: Solve for x
    x = 76,862.85/250.16
  6. Step 6: Final answer
    x = 307.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.