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Finding the Fourth Proportional to 309.70, 464.73 and 165.46

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Solution

The fourth proportional to 309.70, 464.73 and 165.46 is: 248.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.70 : 464.73 = 165.46 : x
  2. Step 2: Convert to fraction form
    309.70/464.73 = 165.46/x
  3. Step 3: Cross multiply
    309.70x = 464.73 × 165.46
  4. Step 4: Simplify right side
    309.70x = 76,894.23
  5. Step 5: Solve for x
    x = 76,894.23/309.70
  6. Step 6: Final answer
    x = 248.29

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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.