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Finding the Fourth Proportional to 295.84, 408.29 and 222.02

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Solution

The fourth proportional to 295.84, 408.29 and 222.02 is: 306.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.84 : 408.29 = 222.02 : x
  2. Step 2: Convert to fraction form
    295.84/408.29 = 222.02/x
  3. Step 3: Cross multiply
    295.84x = 408.29 × 222.02
  4. Step 4: Simplify right side
    295.84x = 90,648.55
  5. Step 5: Solve for x
    x = 90,648.55/295.84
  6. Step 6: Final answer
    x = 306.41

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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.