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Finding the Fourth Proportional to 333.37, 460.09 and 186.02

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Solution

The fourth proportional to 333.37, 460.09 and 186.02 is: 256.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.37 : 460.09 = 186.02 : x
  2. Step 2: Convert to fraction form
    333.37/460.09 = 186.02/x
  3. Step 3: Cross multiply
    333.37x = 460.09 × 186.02
  4. Step 4: Simplify right side
    333.37x = 85,585.94
  5. Step 5: Solve for x
    x = 85,585.94/333.37
  6. Step 6: Final answer
    x = 256.73

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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.