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Finding the Fourth Proportional to 309.67, 465.09 and 173.17

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Solution

The fourth proportional to 309.67, 465.09 and 173.17 is: 260.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.67 : 465.09 = 173.17 : x
  2. Step 2: Convert to fraction form
    309.67/465.09 = 173.17/x
  3. Step 3: Cross multiply
    309.67x = 465.09 × 173.17
  4. Step 4: Simplify right side
    309.67x = 80,539.64
  5. Step 5: Solve for x
    x = 80,539.64/309.67
  6. Step 6: Final answer
    x = 260.08

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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.