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Finding the Fourth Proportional to 503.97, 755.98 and 138.75

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Solution

The fourth proportional to 503.97, 755.98 and 138.75 is: 208.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.97 : 755.98 = 138.75 : x
  2. Step 2: Convert to fraction form
    503.97/755.98 = 138.75/x
  3. Step 3: Cross multiply
    503.97x = 755.98 × 138.75
  4. Step 4: Simplify right side
    503.97x = 104,892.23
  5. Step 5: Solve for x
    x = 104,892.23/503.97
  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.