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Finding the Fourth Proportional to 310.54, 465.20 and 173.17

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Solution

The fourth proportional to 310.54, 465.20 and 173.17 is: 259.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.54 : 465.20 = 173.17 : x
  2. Step 2: Convert to fraction form
    310.54/465.20 = 173.17/x
  3. Step 3: Cross multiply
    310.54x = 465.20 × 173.17
  4. Step 4: Simplify right side
    310.54x = 80,558.68
  5. Step 5: Solve for x
    x = 80,558.68/310.54
  6. Step 6: Final answer
    x = 259.41

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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.