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Finding the Fourth Proportional to 392.40, 541.50 and 222.06

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Solution

The fourth proportional to 392.40, 541.50 and 222.06 is: 306.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.40 : 541.50 = 222.06 : x
  2. Step 2: Convert to fraction form
    392.40/541.50 = 222.06/x
  3. Step 3: Cross multiply
    392.40x = 541.50 × 222.06
  4. Step 4: Simplify right side
    392.40x = 120,245.49
  5. Step 5: Solve for x
    x = 120,245.49/392.40
  6. Step 6: Final answer
    x = 306.44

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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.