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Finding the Fourth Proportional to 333.19, 499.11 and 178.75

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Solution

The fourth proportional to 333.19, 499.11 and 178.75 is: 267.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.19 : 499.11 = 178.75 : x
  2. Step 2: Convert to fraction form
    333.19/499.11 = 178.75/x
  3. Step 3: Cross multiply
    333.19x = 499.11 × 178.75
  4. Step 4: Simplify right side
    333.19x = 89,215.91
  5. Step 5: Solve for x
    x = 89,215.91/333.19
  6. Step 6: Final answer
    x = 267.76

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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.