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Finding the Fourth Proportional to 407.71, 611.65 and 164.26

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Solution

The fourth proportional to 407.71, 611.65 and 164.26 is: 246.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.71 : 611.65 = 164.26 : x
  2. Step 2: Convert to fraction form
    407.71/611.65 = 164.26/x
  3. Step 3: Cross multiply
    407.71x = 611.65 × 164.26
  4. Step 4: Simplify right side
    407.71x = 100,470.60
  5. Step 5: Solve for x
    x = 100,470.60/407.71
  6. Step 6: Final answer
    x = 246.43

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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.