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Finding the Fourth Proportional to 380.77, 571.42 and 137.30

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Solution

The fourth proportional to 380.77, 571.42 and 137.30 is: 206.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.77 : 571.42 = 137.30 : x
  2. Step 2: Convert to fraction form
    380.77/571.42 = 137.30/x
  3. Step 3: Cross multiply
    380.77x = 571.42 × 137.30
  4. Step 4: Simplify right side
    380.77x = 78,457.05
  5. Step 5: Solve for x
    x = 78,457.05/380.77
  6. Step 6: Final answer
    x = 206.05

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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.