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Finding the Fourth Proportional to 503.99, 755.89 and 138.77

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Solution

The fourth proportional to 503.99, 755.89 and 138.77 is: 208.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.99 : 755.89 = 138.77 : x
  2. Step 2: Convert to fraction form
    503.99/755.89 = 138.77/x
  3. Step 3: Cross multiply
    503.99x = 755.89 × 138.77
  4. Step 4: Simplify right side
    503.99x = 104,893.56
  5. Step 5: Solve for x
    x = 104,893.56/503.99
  6. Step 6: Final answer
    x = 208.13

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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.