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Finding the Fourth Proportional to 135.92, 202.78 and 118.77

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Solution

The fourth proportional to 135.92, 202.78 and 118.77 is: 177.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.92 : 202.78 = 118.77 : x
  2. Step 2: Convert to fraction form
    135.92/202.78 = 118.77/x
  3. Step 3: Cross multiply
    135.92x = 202.78 × 118.77
  4. Step 4: Simplify right side
    135.92x = 24,083.88
  5. Step 5: Solve for x
    x = 24,083.88/135.92
  6. Step 6: Final answer
    x = 177.20

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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.