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Finding the Fourth Proportional to 137.43, 204.81 and 136.76

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Solution

The fourth proportional to 137.43, 204.81 and 136.76 is: 203.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.43 : 204.81 = 136.76 : x
  2. Step 2: Convert to fraction form
    137.43/204.81 = 136.76/x
  3. Step 3: Cross multiply
    137.43x = 204.81 × 136.76
  4. Step 4: Simplify right side
    137.43x = 28,008.28
  5. Step 5: Solve for x
    x = 28,008.28/137.43
  6. Step 6: Final answer
    x = 203.80

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.