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Finding the Fourth Proportional to 309.81, 464.40 and 172.97

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Solution

The fourth proportional to 309.81, 464.40 and 172.97 is: 259.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.81 : 464.40 = 172.97 : x
  2. Step 2: Convert to fraction form
    309.81/464.40 = 172.97/x
  3. Step 3: Cross multiply
    309.81x = 464.40 × 172.97
  4. Step 4: Simplify right side
    309.81x = 80,326.18
  5. Step 5: Solve for x
    x = 80,326.18/309.81
  6. Step 6: Final answer
    x = 259.28

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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.