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Finding the Fourth Proportional to 437.96, 657.08 and 164.06

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Solution

The fourth proportional to 437.96, 657.08 and 164.06 is: 246.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.96 : 657.08 = 164.06 : x
  2. Step 2: Convert to fraction form
    437.96/657.08 = 164.06/x
  3. Step 3: Cross multiply
    437.96x = 657.08 × 164.06
  4. Step 4: Simplify right side
    437.96x = 107,796.44
  5. Step 5: Solve for x
    x = 107,796.44/437.96
  6. Step 6: Final answer
    x = 246.14

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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.