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Finding the Fourth Proportional to 321.26, 482.06 and 116.00

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Solution

The fourth proportional to 321.26, 482.06 and 116.00 is: 174.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.26 : 482.06 = 116.00 : x
  2. Step 2: Convert to fraction form
    321.26/482.06 = 116.00/x
  3. Step 3: Cross multiply
    321.26x = 482.06 × 116.00
  4. Step 4: Simplify right side
    321.26x = 55,916.84
  5. Step 5: Solve for x
    x = 55,916.84/321.26
  6. Step 6: Final answer
    x = 174.06

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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.