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Finding the Fourth Proportional to 438.25, 657.17 and 164.14

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Solution

The fourth proportional to 438.25, 657.17 and 164.14 is: 246.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.25 : 657.17 = 164.14 : x
  2. Step 2: Convert to fraction form
    438.25/657.17 = 164.14/x
  3. Step 3: Cross multiply
    438.25x = 657.17 × 164.14
  4. Step 4: Simplify right side
    438.25x = 107,867.06
  5. Step 5: Solve for x
    x = 107,867.06/438.25
  6. Step 6: Final answer
    x = 246.13

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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.