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Finding the Fourth Proportional to 321.70, 482.25 and 177.28

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Solution

The fourth proportional to 321.70, 482.25 and 177.28 is: 265.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.70 : 482.25 = 177.28 : x
  2. Step 2: Convert to fraction form
    321.70/482.25 = 177.28/x
  3. Step 3: Cross multiply
    321.70x = 482.25 × 177.28
  4. Step 4: Simplify right side
    321.70x = 85,493.28
  5. Step 5: Solve for x
    x = 85,493.28/321.70
  6. Step 6: Final answer
    x = 265.75

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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.