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Finding the Fourth Proportional to 331.40, 457.31 and 184.04

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Solution

The fourth proportional to 331.40, 457.31 and 184.04 is: 253.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.40 : 457.31 = 184.04 : x
  2. Step 2: Convert to fraction form
    331.40/457.31 = 184.04/x
  3. Step 3: Cross multiply
    331.40x = 457.31 × 184.04
  4. Step 4: Simplify right side
    331.40x = 84,160.13
  5. Step 5: Solve for x
    x = 84,160.13/331.40
  6. Step 6: Final answer
    x = 253.96

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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.