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Finding the Fourth Proportional to 254.46, 380.00 and 222.06

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Solution

The fourth proportional to 254.46, 380.00 and 222.06 is: 331.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.46 : 380.00 = 222.06 : x
  2. Step 2: Convert to fraction form
    254.46/380.00 = 222.06/x
  3. Step 3: Cross multiply
    254.46x = 380.00 × 222.06
  4. Step 4: Simplify right side
    254.46x = 84,381.69
  5. Step 5: Solve for x
    x = 84,381.69/254.46
  6. Step 6: Final answer
    x = 331.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.