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Finding the Fourth Proportional to 273.58, 410.20 and 136.55

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Solution

The fourth proportional to 273.58, 410.20 and 136.55 is: 204.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.58 : 410.20 = 136.55 : x
  2. Step 2: Convert to fraction form
    273.58/410.20 = 136.55/x
  3. Step 3: Cross multiply
    273.58x = 410.20 × 136.55
  4. Step 4: Simplify right side
    273.58x = 56,013.49
  5. Step 5: Solve for x
    x = 56,013.49/273.58
  6. Step 6: Final answer
    x = 204.74

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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.