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Finding the Fourth Proportional to 503.66, 755.13 and 195.25

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Solution

The fourth proportional to 503.66, 755.13 and 195.25 is: 292.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.66 : 755.13 = 195.25 : x
  2. Step 2: Convert to fraction form
    503.66/755.13 = 195.25/x
  3. Step 3: Cross multiply
    503.66x = 755.13 × 195.25
  4. Step 4: Simplify right side
    503.66x = 147,439.13
  5. Step 5: Solve for x
    x = 147,439.13/503.66
  6. Step 6: Final answer
    x = 292.74

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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.