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Finding the Fourth Proportional to 427.95, 641.42 and 164.19

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Solution

The fourth proportional to 427.95, 641.42 and 164.19 is: 246.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.95 : 641.42 = 164.19 : x
  2. Step 2: Convert to fraction form
    427.95/641.42 = 164.19/x
  3. Step 3: Cross multiply
    427.95x = 641.42 × 164.19
  4. Step 4: Simplify right side
    427.95x = 105,316.95
  5. Step 5: Solve for x
    x = 105,316.95/427.95
  6. Step 6: Final answer
    x = 246.10

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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.