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Finding the Fourth Proportional to 333.91, 460.81 and 184.54

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Solution

The fourth proportional to 333.91, 460.81 and 184.54 is: 254.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.91 : 460.81 = 184.54 : x
  2. Step 2: Convert to fraction form
    333.91/460.81 = 184.54/x
  3. Step 3: Cross multiply
    333.91x = 460.81 × 184.54
  4. Step 4: Simplify right side
    333.91x = 85,038.99
  5. Step 5: Solve for x
    x = 85,038.99/333.91
  6. Step 6: Final answer
    x = 254.68

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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.