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Finding the Fourth Proportional to 331.86, 457.95 and 205.77

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Solution

The fourth proportional to 331.86, 457.95 and 205.77 is: 283.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.86 : 457.95 = 205.77 : x
  2. Step 2: Convert to fraction form
    331.86/457.95 = 205.77/x
  3. Step 3: Cross multiply
    331.86x = 457.95 × 205.77
  4. Step 4: Simplify right side
    331.86x = 94,232.37
  5. Step 5: Solve for x
    x = 94,232.37/331.86
  6. Step 6: Final answer
    x = 283.95

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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.