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Finding the Fourth Proportional to 333.52, 460.26 and 184.15

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Solution

The fourth proportional to 333.52, 460.26 and 184.15 is: 254.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.52 : 460.26 = 184.15 : x
  2. Step 2: Convert to fraction form
    333.52/460.26 = 184.15/x
  3. Step 3: Cross multiply
    333.52x = 460.26 × 184.15
  4. Step 4: Simplify right side
    333.52x = 84,755.73
  5. Step 5: Solve for x
    x = 84,755.73/333.52
  6. Step 6: Final answer
    x = 254.13

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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.