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Finding the Fourth Proportional to 438.21, 657.23 and 164.22

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Solution

The fourth proportional to 438.21, 657.23 and 164.22 is: 246.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.21 : 657.23 = 164.22 : x
  2. Step 2: Convert to fraction form
    438.21/657.23 = 164.22/x
  3. Step 3: Cross multiply
    438.21x = 657.23 × 164.22
  4. Step 4: Simplify right side
    438.21x = 107,930.31
  5. Step 5: Solve for x
    x = 107,930.31/438.21
  6. Step 6: Final answer
    x = 246.30

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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.