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Finding the Fourth Proportional to 437.72, 656.92 and 164.01

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Solution

The fourth proportional to 437.72, 656.92 and 164.01 is: 246.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.72 : 656.92 = 164.01 : x
  2. Step 2: Convert to fraction form
    437.72/656.92 = 164.01/x
  3. Step 3: Cross multiply
    437.72x = 656.92 × 164.01
  4. Step 4: Simplify right side
    437.72x = 107,741.45
  5. Step 5: Solve for x
    x = 107,741.45/437.72
  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.