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Finding the Fourth Proportional to 503.90, 755.87 and 138.69

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Solution

The fourth proportional to 503.90, 755.87 and 138.69 is: 208.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.90 : 755.87 = 138.69 : x
  2. Step 2: Convert to fraction form
    503.90/755.87 = 138.69/x
  3. Step 3: Cross multiply
    503.90x = 755.87 × 138.69
  4. Step 4: Simplify right side
    503.90x = 104,833.50
  5. Step 5: Solve for x
    x = 104,833.50/503.90
  6. Step 6: Final answer
    x = 208.04

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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.