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Finding the Fourth Proportional to 137.23, 204.86 and 119.00

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Solution

The fourth proportional to 137.23, 204.86 and 119.00 is: 177.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.23 : 204.86 = 119.00 : x
  2. Step 2: Convert to fraction form
    137.23/204.86 = 119.00/x
  3. Step 3: Cross multiply
    137.23x = 204.86 × 119.00
  4. Step 4: Simplify right side
    137.23x = 24,379.15
  5. Step 5: Solve for x
    x = 24,379.15/137.23
  6. Step 6: Final answer
    x = 177.65

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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.