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Finding the Fourth Proportional to 322.45, 483.30 and 116.96

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Solution

The fourth proportional to 322.45, 483.30 and 116.96 is: 175.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.45 : 483.30 = 116.96 : x
  2. Step 2: Convert to fraction form
    322.45/483.30 = 116.96/x
  3. Step 3: Cross multiply
    322.45x = 483.30 × 116.96
  4. Step 4: Simplify right side
    322.45x = 56,524.35
  5. Step 5: Solve for x
    x = 56,524.35/322.45
  6. Step 6: Final answer
    x = 175.30

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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.