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Finding the Fourth Proportional to 503.87, 755.33 and 195.51

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Solution

The fourth proportional to 503.87, 755.33 and 195.51 is: 293.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.87 : 755.33 = 195.51 : x
  2. Step 2: Convert to fraction form
    503.87/755.33 = 195.51/x
  3. Step 3: Cross multiply
    503.87x = 755.33 × 195.51
  4. Step 4: Simplify right side
    503.87x = 147,674.57
  5. Step 5: Solve for x
    x = 147,674.57/503.87
  6. Step 6: Final answer
    x = 293.08

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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.