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Finding the Fourth Proportional to 333.14, 499.07 and 178.83

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Solution

The fourth proportional to 333.14, 499.07 and 178.83 is: 267.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.14 : 499.07 = 178.83 : x
  2. Step 2: Convert to fraction form
    333.14/499.07 = 178.83/x
  3. Step 3: Cross multiply
    333.14x = 499.07 × 178.83
  4. Step 4: Simplify right side
    333.14x = 89,247.79
  5. Step 5: Solve for x
    x = 89,247.79/333.14
  6. Step 6: Final answer
    x = 267.90

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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.