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Finding the Fourth Proportional to 309.21, 463.47 and 164.64

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Solution

The fourth proportional to 309.21, 463.47 and 164.64 is: 246.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.21 : 463.47 = 164.64 : x
  2. Step 2: Convert to fraction form
    309.21/463.47 = 164.64/x
  3. Step 3: Cross multiply
    309.21x = 463.47 × 164.64
  4. Step 4: Simplify right side
    309.21x = 76,305.70
  5. Step 5: Solve for x
    x = 76,305.70/309.21
  6. Step 6: Final answer
    x = 246.78

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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.