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Finding the Fourth Proportional to 333.62, 460.33 and 186.23

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Solution

The fourth proportional to 333.62, 460.33 and 186.23 is: 256.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.62 : 460.33 = 186.23 : x
  2. Step 2: Convert to fraction form
    333.62/460.33 = 186.23/x
  3. Step 3: Cross multiply
    333.62x = 460.33 × 186.23
  4. Step 4: Simplify right side
    333.62x = 85,727.94
  5. Step 5: Solve for x
    x = 85,727.94/333.62
  6. Step 6: Final answer
    x = 256.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.