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Finding the Fourth Proportional to 503.78, 755.19 and 195.40

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Solution

The fourth proportional to 503.78, 755.19 and 195.40 is: 292.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.78 : 755.19 = 195.40 : x
  2. Step 2: Convert to fraction form
    503.78/755.19 = 195.40/x
  3. Step 3: Cross multiply
    503.78x = 755.19 × 195.40
  4. Step 4: Simplify right side
    503.78x = 147,564.13
  5. Step 5: Solve for x
    x = 147,564.13/503.78
  6. Step 6: Final answer
    x = 292.91

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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.