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Finding the Fourth Proportional to 321.88, 482.82 and 116.43

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Solution

The fourth proportional to 321.88, 482.82 and 116.43 is: 174.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.88 : 482.82 = 116.43 : x
  2. Step 2: Convert to fraction form
    321.88/482.82 = 116.43/x
  3. Step 3: Cross multiply
    321.88x = 482.82 × 116.43
  4. Step 4: Simplify right side
    321.88x = 56,214.15
  5. Step 5: Solve for x
    x = 56,214.15/321.88
  6. Step 6: Final answer
    x = 174.64

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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.