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Finding the Fourth Proportional to 205.64, 307.89 and 164.31

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Solution

The fourth proportional to 205.64, 307.89 and 164.31 is: 246.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.64 : 307.89 = 164.31 : x
  2. Step 2: Convert to fraction form
    205.64/307.89 = 164.31/x
  3. Step 3: Cross multiply
    205.64x = 307.89 × 164.31
  4. Step 4: Simplify right side
    205.64x = 50,589.41
  5. Step 5: Solve for x
    x = 50,589.41/205.64
  6. Step 6: Final answer
    x = 246.01

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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.