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Finding the Fourth Proportional to 380.96, 571.48 and 164.68

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Solution

The fourth proportional to 380.96, 571.48 and 164.68 is: 247.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.96 : 571.48 = 164.68 : x
  2. Step 2: Convert to fraction form
    380.96/571.48 = 164.68/x
  3. Step 3: Cross multiply
    380.96x = 571.48 × 164.68
  4. Step 4: Simplify right side
    380.96x = 94,111.33
  5. Step 5: Solve for x
    x = 94,111.33/380.96
  6. Step 6: Final answer
    x = 247.04

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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.