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Finding the Fourth Proportional to 321.83, 444.11 and 189.06

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Solution

The fourth proportional to 321.83, 444.11 and 189.06 is: 260.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.83 : 444.11 = 189.06 : x
  2. Step 2: Convert to fraction form
    321.83/444.11 = 189.06/x
  3. Step 3: Cross multiply
    321.83x = 444.11 × 189.06
  4. Step 4: Simplify right side
    321.83x = 83,962.49
  5. Step 5: Solve for x
    x = 83,962.49/321.83
  6. Step 6: Final answer
    x = 260.89

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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.