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Finding the Fourth Proportional to 380.83, 571.10 and 164.29

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Solution

The fourth proportional to 380.83, 571.10 and 164.29 is: 246.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.83 : 571.10 = 164.29 : x
  2. Step 2: Convert to fraction form
    380.83/571.10 = 164.29/x
  3. Step 3: Cross multiply
    380.83x = 571.10 × 164.29
  4. Step 4: Simplify right side
    380.83x = 93,823.16
  5. Step 5: Solve for x
    x = 93,823.16/380.83
  6. Step 6: Final answer
    x = 246.37

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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.