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Finding the Fourth Proportional to 309.96, 464.67 and 173.21

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Solution

The fourth proportional to 309.96, 464.67 and 173.21 is: 259.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.96 : 464.67 = 173.21 : x
  2. Step 2: Convert to fraction form
    309.96/464.67 = 173.21/x
  3. Step 3: Cross multiply
    309.96x = 464.67 × 173.21
  4. Step 4: Simplify right side
    309.96x = 80,483.17
  5. Step 5: Solve for x
    x = 80,483.17/309.96
  6. Step 6: Final answer
    x = 259.66

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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.