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Finding the Fourth Proportional to 135.98, 202.91 and 119.58

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Solution

The fourth proportional to 135.98, 202.91 and 119.58 is: 178.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.98 : 202.91 = 119.58 : x
  2. Step 2: Convert to fraction form
    135.98/202.91 = 119.58/x
  3. Step 3: Cross multiply
    135.98x = 202.91 × 119.58
  4. Step 4: Simplify right side
    135.98x = 24,262.62
  5. Step 5: Solve for x
    x = 24,262.62/135.98
  6. Step 6: Final answer
    x = 178.43

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Why These Related Problems?

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