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Finding the Fourth Proportional to 420.93, 631.39 and 164.43

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Solution

The fourth proportional to 420.93, 631.39 and 164.43 is: 246.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.93 : 631.39 = 164.43 : x
  2. Step 2: Convert to fraction form
    420.93/631.39 = 164.43/x
  3. Step 3: Cross multiply
    420.93x = 631.39 × 164.43
  4. Step 4: Simplify right side
    420.93x = 103,819.05
  5. Step 5: Solve for x
    x = 103,819.05/420.93
  6. Step 6: Final answer
    x = 246.64

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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.