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Finding the Fourth Proportional to 438.49, 657.50 and 164.43

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Solution

The fourth proportional to 438.49, 657.50 and 164.43 is: 246.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.49 : 657.50 = 164.43 : x
  2. Step 2: Convert to fraction form
    438.49/657.50 = 164.43/x
  3. Step 3: Cross multiply
    438.49x = 657.50 × 164.43
  4. Step 4: Simplify right side
    438.49x = 108,112.73
  5. Step 5: Solve for x
    x = 108,112.73/438.49
  6. Step 6: Final answer
    x = 246.56

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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.