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Finding the Fourth Proportional to 333.15, 499.34 and 186.83

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Solution

The fourth proportional to 333.15, 499.34 and 186.83 is: 280.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.15 : 499.34 = 186.83 : x
  2. Step 2: Convert to fraction form
    333.15/499.34 = 186.83/x
  3. Step 3: Cross multiply
    333.15x = 499.34 × 186.83
  4. Step 4: Simplify right side
    333.15x = 93,288.26
  5. Step 5: Solve for x
    x = 93,288.26/333.15
  6. Step 6: Final answer
    x = 280.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.