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Finding the Fourth Proportional to 503.25, 754.76 and 194.95

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Solution

The fourth proportional to 503.25, 754.76 and 194.95 is: 292.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.25 : 754.76 = 194.95 : x
  2. Step 2: Convert to fraction form
    503.25/754.76 = 194.95/x
  3. Step 3: Cross multiply
    503.25x = 754.76 × 194.95
  4. Step 4: Simplify right side
    503.25x = 147,136.69
  5. Step 5: Solve for x
    x = 147,136.69/503.25
  6. Step 6: Final answer
    x = 292.37

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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.