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Finding the Fourth Proportional to 333.33, 499.57 and 116.65

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Solution

The fourth proportional to 333.33, 499.57 and 116.65 is: 174.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.33 : 499.57 = 116.65 : x
  2. Step 2: Convert to fraction form
    333.33/499.57 = 116.65/x
  3. Step 3: Cross multiply
    333.33x = 499.57 × 116.65
  4. Step 4: Simplify right side
    333.33x = 58,274.84
  5. Step 5: Solve for x
    x = 58,274.84/333.33
  6. Step 6: Final answer
    x = 174.83

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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.