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Finding the Fourth Proportional to 333.87, 500.78 and 138.80

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Solution

The fourth proportional to 333.87, 500.78 and 138.80 is: 208.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.87 : 500.78 = 138.80 : x
  2. Step 2: Convert to fraction form
    333.87/500.78 = 138.80/x
  3. Step 3: Cross multiply
    333.87x = 500.78 × 138.80
  4. Step 4: Simplify right side
    333.87x = 69,509.86
  5. Step 5: Solve for x
    x = 69,509.86/333.87
  6. Step 6: Final answer
    x = 208.20

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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.