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Finding the Fourth Proportional to 321.76, 482.49 and 116.27

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Solution

The fourth proportional to 321.76, 482.49 and 116.27 is: 174.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.76 : 482.49 = 116.27 : x
  2. Step 2: Convert to fraction form
    321.76/482.49 = 116.27/x
  3. Step 3: Cross multiply
    321.76x = 482.49 × 116.27
  4. Step 4: Simplify right side
    321.76x = 56,099.11
  5. Step 5: Solve for x
    x = 56,099.11/321.76
  6. Step 6: Final answer
    x = 174.35

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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.