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Finding the Fourth Proportional to 380.22, 570.09 and 136.69

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Solution

The fourth proportional to 380.22, 570.09 and 136.69 is: 204.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.22 : 570.09 = 136.69 : x
  2. Step 2: Convert to fraction form
    380.22/570.09 = 136.69/x
  3. Step 3: Cross multiply
    380.22x = 570.09 × 136.69
  4. Step 4: Simplify right side
    380.22x = 77,925.60
  5. Step 5: Solve for x
    x = 77,925.60/380.22
  6. Step 6: Final answer
    x = 204.95

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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.