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Finding the Fourth Proportional to 333.75, 500.69 and 114.40

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Solution

The fourth proportional to 333.75, 500.69 and 114.40 is: 171.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.75 : 500.69 = 114.40 : x
  2. Step 2: Convert to fraction form
    333.75/500.69 = 114.40/x
  3. Step 3: Cross multiply
    333.75x = 500.69 × 114.40
  4. Step 4: Simplify right side
    333.75x = 57,279.85
  5. Step 5: Solve for x
    x = 57,279.85/333.75
  6. Step 6: Final answer
    x = 171.62

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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.