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Finding the Fourth Proportional to 380.36, 570.48 and 137.12

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Solution

The fourth proportional to 380.36, 570.48 and 137.12 is: 205.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.36 : 570.48 = 137.12 : x
  2. Step 2: Convert to fraction form
    380.36/570.48 = 137.12/x
  3. Step 3: Cross multiply
    380.36x = 570.48 × 137.12
  4. Step 4: Simplify right side
    380.36x = 78,224.22
  5. Step 5: Solve for x
    x = 78,224.22/380.36
  6. Step 6: Final answer
    x = 205.66

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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.