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Finding the Fourth Proportional to 333.67, 460.49 and 186.35

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Solution

The fourth proportional to 333.67, 460.49 and 186.35 is: 257.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.67 : 460.49 = 186.35 : x
  2. Step 2: Convert to fraction form
    333.67/460.49 = 186.35/x
  3. Step 3: Cross multiply
    333.67x = 460.49 × 186.35
  4. Step 4: Simplify right side
    333.67x = 85,811.67
  5. Step 5: Solve for x
    x = 85,811.67/333.67
  6. Step 6: Final answer
    x = 257.18

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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.