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Finding the Fourth Proportional to 214.46, 321.45 and 122.96

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Solution

The fourth proportional to 214.46, 321.45 and 122.96 is: 184.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.46 : 321.45 = 122.96 : x
  2. Step 2: Convert to fraction form
    214.46/321.45 = 122.96/x
  3. Step 3: Cross multiply
    214.46x = 321.45 × 122.96
  4. Step 4: Simplify right side
    214.46x = 39,525.49
  5. Step 5: Solve for x
    x = 39,525.49/214.46
  6. Step 6: Final answer
    x = 184.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.