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Finding the Fourth Proportional to 380.54, 571.05 and 164.14

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Solution

The fourth proportional to 380.54, 571.05 and 164.14 is: 246.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.54 : 571.05 = 164.14 : x
  2. Step 2: Convert to fraction form
    380.54/571.05 = 164.14/x
  3. Step 3: Cross multiply
    380.54x = 571.05 × 164.14
  4. Step 4: Simplify right side
    380.54x = 93,730.72
  5. Step 5: Solve for x
    x = 93,730.72/380.54
  6. Step 6: Final answer
    x = 246.31

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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.