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Finding the Fourth Proportional to 205.99, 309.15 and 157.39

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Solution

The fourth proportional to 205.99, 309.15 and 157.39 is: 236.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.99 : 309.15 = 157.39 : x
  2. Step 2: Convert to fraction form
    205.99/309.15 = 157.39/x
  3. Step 3: Cross multiply
    205.99x = 309.15 × 157.39
  4. Step 4: Simplify right side
    205.99x = 48,657.12
  5. Step 5: Solve for x
    x = 48,657.12/205.99
  6. Step 6: Final answer
    x = 236.21

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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.