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Finding the Fourth Proportional to 205.89, 284.16 and 178.15

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Solution

The fourth proportional to 205.89, 284.16 and 178.15 is: 245.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.89 : 284.16 = 178.15 : x
  2. Step 2: Convert to fraction form
    205.89/284.16 = 178.15/x
  3. Step 3: Cross multiply
    205.89x = 284.16 × 178.15
  4. Step 4: Simplify right side
    205.89x = 50,623.10
  5. Step 5: Solve for x
    x = 50,623.10/205.89
  6. Step 6: Final answer
    x = 245.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.