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Finding the Fourth Proportional to 333.80, 460.63 and 186.44

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Solution

The fourth proportional to 333.80, 460.63 and 186.44 is: 257.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.80 : 460.63 = 186.44 : x
  2. Step 2: Convert to fraction form
    333.80/460.63 = 186.44/x
  3. Step 3: Cross multiply
    333.80x = 460.63 × 186.44
  4. Step 4: Simplify right side
    333.80x = 85,877.79
  5. Step 5: Solve for x
    x = 85,877.79/333.80
  6. Step 6: Final answer
    x = 257.27

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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.