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Finding the Fourth Proportional to 205.48, 308.44 and 137.15

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Solution

The fourth proportional to 205.48, 308.44 and 137.15 is: 205.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.48 : 308.44 = 137.15 : x
  2. Step 2: Convert to fraction form
    205.48/308.44 = 137.15/x
  3. Step 3: Cross multiply
    205.48x = 308.44 × 137.15
  4. Step 4: Simplify right side
    205.48x = 42,301.00
  5. Step 5: Solve for x
    x = 42,301.00/205.48
  6. Step 6: Final answer
    x = 205.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.