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Finding the Fourth Proportional to 503.82, 755.70 and 138.58

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Solution

The fourth proportional to 503.82, 755.70 and 138.58 is: 207.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.82 : 755.70 = 138.58 : x
  2. Step 2: Convert to fraction form
    503.82/755.70 = 138.58/x
  3. Step 3: Cross multiply
    503.82x = 755.70 × 138.58
  4. Step 4: Simplify right side
    503.82x = 104,724.21
  5. Step 5: Solve for x
    x = 104,724.21/503.82
  6. Step 6: Final answer
    x = 207.86

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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.