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Finding the Fourth Proportional to 318.20, 476.80 and 173.48

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Solution

The fourth proportional to 318.20, 476.80 and 173.48 is: 259.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.20 : 476.80 = 173.48 : x
  2. Step 2: Convert to fraction form
    318.20/476.80 = 173.48/x
  3. Step 3: Cross multiply
    318.20x = 476.80 × 173.48
  4. Step 4: Simplify right side
    318.20x = 82,715.26
  5. Step 5: Solve for x
    x = 82,715.26/318.20
  6. Step 6: Final answer
    x = 259.95

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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.