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Finding the Fourth Proportional to 380.94, 571.04 and 164.22

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Solution

The fourth proportional to 380.94, 571.04 and 164.22 is: 246.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.94 : 571.04 = 164.22 : x
  2. Step 2: Convert to fraction form
    380.94/571.04 = 164.22/x
  3. Step 3: Cross multiply
    380.94x = 571.04 × 164.22
  4. Step 4: Simplify right side
    380.94x = 93,776.19
  5. Step 5: Solve for x
    x = 93,776.19/380.94
  6. Step 6: Final answer
    x = 246.17

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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.