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Finding the Fourth Proportional to 205.08, 305.13 and 193.56

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Solution

The fourth proportional to 205.08, 305.13 and 193.56 is: 287.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.08 : 305.13 = 193.56 : x
  2. Step 2: Convert to fraction form
    205.08/305.13 = 193.56/x
  3. Step 3: Cross multiply
    205.08x = 305.13 × 193.56
  4. Step 4: Simplify right side
    205.08x = 59,060.96
  5. Step 5: Solve for x
    x = 59,060.96/205.08
  6. Step 6: Final answer
    x = 287.99

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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.