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Finding the Fourth Proportional to 438.15, 657.24 and 164.09

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Solution

The fourth proportional to 438.15, 657.24 and 164.09 is: 246.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.15 : 657.24 = 164.09 : x
  2. Step 2: Convert to fraction form
    438.15/657.24 = 164.09/x
  3. Step 3: Cross multiply
    438.15x = 657.24 × 164.09
  4. Step 4: Simplify right side
    438.15x = 107,846.51
  5. Step 5: Solve for x
    x = 107,846.51/438.15
  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.