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Finding the Fourth Proportional to 136.35, 203.58 and 119.21

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Solution

The fourth proportional to 136.35, 203.58 and 119.21 is: 177.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.35 : 203.58 = 119.21 : x
  2. Step 2: Convert to fraction form
    136.35/203.58 = 119.21/x
  3. Step 3: Cross multiply
    136.35x = 203.58 × 119.21
  4. Step 4: Simplify right side
    136.35x = 24,267.75
  5. Step 5: Solve for x
    x = 24,267.75/136.35
  6. Step 6: Final answer
    x = 177.98

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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.