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Finding the Fourth Proportional to 333.96, 500.87 and 138.75

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Solution

The fourth proportional to 333.96, 500.87 and 138.75 is: 208.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.96 : 500.87 = 138.75 : x
  2. Step 2: Convert to fraction form
    333.96/500.87 = 138.75/x
  3. Step 3: Cross multiply
    333.96x = 500.87 × 138.75
  4. Step 4: Simplify right side
    333.96x = 69,495.02
  5. Step 5: Solve for x
    x = 69,495.02/333.96
  6. Step 6: Final answer
    x = 208.09

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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.