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Finding the Fourth Proportional to 321.32, 481.98 and 169

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Solution

The fourth proportional to 321.32, 481.98 and 169 is: 253.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.32 : 481.98 = 169 : x
  2. Step 2: Convert to fraction form
    321.32/481.98 = 169/x
  3. Step 3: Cross multiply
    321.32x = 481.98 × 169
  4. Step 4: Simplify right side
    321.32x = 81,454.62
  5. Step 5: Solve for x
    x = 81,454.62/321.32
  6. Step 6: Final answer
    x = 253.50

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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.