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Finding the Fourth Proportional to 333.90, 460.75 and 184.51

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Solution

The fourth proportional to 333.90, 460.75 and 184.51 is: 254.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.90 : 460.75 = 184.51 : x
  2. Step 2: Convert to fraction form
    333.90/460.75 = 184.51/x
  3. Step 3: Cross multiply
    333.90x = 460.75 × 184.51
  4. Step 4: Simplify right side
    333.90x = 85,012.98
  5. Step 5: Solve for x
    x = 85,012.98/333.90
  6. Step 6: Final answer
    x = 254.61

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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.