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Finding the Fourth Proportional to 333.25, 499.85 and 116.83

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Solution

The fourth proportional to 333.25, 499.85 and 116.83 is: 175.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.25 : 499.85 = 116.83 : x
  2. Step 2: Convert to fraction form
    333.25/499.85 = 116.83/x
  3. Step 3: Cross multiply
    333.25x = 499.85 × 116.83
  4. Step 4: Simplify right side
    333.25x = 58,397.48
  5. Step 5: Solve for x
    x = 58,397.48/333.25
  6. Step 6: Final answer
    x = 175.24

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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.