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Finding the Fourth Proportional to 380.14, 570.23 and 136.75

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Solution

The fourth proportional to 380.14, 570.23 and 136.75 is: 205.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.14 : 570.23 = 136.75 : x
  2. Step 2: Convert to fraction form
    380.14/570.23 = 136.75/x
  3. Step 3: Cross multiply
    380.14x = 570.23 × 136.75
  4. Step 4: Simplify right side
    380.14x = 77,978.95
  5. Step 5: Solve for x
    x = 77,978.95/380.14
  6. Step 6: Final answer
    x = 205.13

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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.