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Finding the Fourth Proportional to 503.23, 754.71 and 137.94

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Solution

The fourth proportional to 503.23, 754.71 and 137.94 is: 206.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.23 : 754.71 = 137.94 : x
  2. Step 2: Convert to fraction form
    503.23/754.71 = 137.94/x
  3. Step 3: Cross multiply
    503.23x = 754.71 × 137.94
  4. Step 4: Simplify right side
    503.23x = 104,101.44
  5. Step 5: Solve for x
    x = 104,101.44/503.23
  6. Step 6: Final answer
    x = 206.86

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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.