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Finding the Fourth Proportional to 341.78, 512.96 and 136.49

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Solution

The fourth proportional to 341.78, 512.96 and 136.49 is: 204.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.78 : 512.96 = 136.49 : x
  2. Step 2: Convert to fraction form
    341.78/512.96 = 136.49/x
  3. Step 3: Cross multiply
    341.78x = 512.96 × 136.49
  4. Step 4: Simplify right side
    341.78x = 70,010.66
  5. Step 5: Solve for x
    x = 70,010.66/341.78
  6. Step 6: Final answer
    x = 204.84

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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.