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Finding the Fourth Proportional to 331.19, 457.04 and 183.81

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Solution

The fourth proportional to 331.19, 457.04 and 183.81 is: 253.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.19 : 457.04 = 183.81 : x
  2. Step 2: Convert to fraction form
    331.19/457.04 = 183.81/x
  3. Step 3: Cross multiply
    331.19x = 457.04 × 183.81
  4. Step 4: Simplify right side
    331.19x = 84,007.60
  5. Step 5: Solve for x
    x = 84,007.60/331.19
  6. Step 6: Final answer
    x = 253.66

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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.