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Finding the Fourth Proportional to 205.64, 284.21 and 178.30

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Solution

The fourth proportional to 205.64, 284.21 and 178.30 is: 246.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.64 : 284.21 = 178.30 : x
  2. Step 2: Convert to fraction form
    205.64/284.21 = 178.30/x
  3. Step 3: Cross multiply
    205.64x = 284.21 × 178.30
  4. Step 4: Simplify right side
    205.64x = 50,674.78
  5. Step 5: Solve for x
    x = 50,674.78/205.64
  6. Step 6: Final answer
    x = 246.43

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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.