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Finding the Fourth Proportional to 321.32, 482.08 and 126.48

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Solution

The fourth proportional to 321.32, 482.08 and 126.48 is: 189.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.32 : 482.08 = 126.48 : x
  2. Step 2: Convert to fraction form
    321.32/482.08 = 126.48/x
  3. Step 3: Cross multiply
    321.32x = 482.08 × 126.48
  4. Step 4: Simplify right side
    321.32x = 60,973.48
  5. Step 5: Solve for x
    x = 60,973.48/321.32
  6. Step 6: Final answer
    x = 189.76

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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.