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Finding the Fourth Proportional to 322.40, 483.60 and 193.88

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Solution

The fourth proportional to 322.40, 483.60 and 193.88 is: 290.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.40 : 483.60 = 193.88 : x
  2. Step 2: Convert to fraction form
    322.40/483.60 = 193.88/x
  3. Step 3: Cross multiply
    322.40x = 483.60 × 193.88
  4. Step 4: Simplify right side
    322.40x = 93,757.95
  5. Step 5: Solve for x
    x = 93,757.95/322.40
  6. Step 6: Final answer
    x = 290.82

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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.