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Finding the Fourth Proportional to 380.08, 569.71 and 136.41

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Solution

The fourth proportional to 380.08, 569.71 and 136.41 is: 204.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.08 : 569.71 = 136.41 : x
  2. Step 2: Convert to fraction form
    380.08/569.71 = 136.41/x
  3. Step 3: Cross multiply
    380.08x = 569.71 × 136.41
  4. Step 4: Simplify right side
    380.08x = 77,714.14
  5. Step 5: Solve for x
    x = 77,714.14/380.08
  6. Step 6: Final answer
    x = 204.47

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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.