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Finding the Fourth Proportional to 331.04, 456.35 and 206.64

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Solution

The fourth proportional to 331.04, 456.35 and 206.64 is: 284.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.04 : 456.35 = 206.64 : x
  2. Step 2: Convert to fraction form
    331.04/456.35 = 206.64/x
  3. Step 3: Cross multiply
    331.04x = 456.35 × 206.64
  4. Step 4: Simplify right side
    331.04x = 94,299.13
  5. Step 5: Solve for x
    x = 94,299.13/331.04
  6. Step 6: Final answer
    x = 284.86

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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.