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Finding the Fourth Proportional to 438.09, 656.81 and 164.04

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Solution

The fourth proportional to 438.09, 656.81 and 164.04 is: 245.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.09 : 656.81 = 164.04 : x
  2. Step 2: Convert to fraction form
    438.09/656.81 = 164.04/x
  3. Step 3: Cross multiply
    438.09x = 656.81 × 164.04
  4. Step 4: Simplify right side
    438.09x = 107,742.29
  5. Step 5: Solve for x
    x = 107,742.29/438.09
  6. Step 6: Final answer
    x = 245.94

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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.