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Finding the Fourth Proportional to 505.20, 757.80 and 140.03

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Solution

The fourth proportional to 505.20, 757.80 and 140.03 is: 210.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.20 : 757.80 = 140.03 : x
  2. Step 2: Convert to fraction form
    505.20/757.80 = 140.03/x
  3. Step 3: Cross multiply
    505.20x = 757.80 × 140.03
  4. Step 4: Simplify right side
    505.20x = 106,114.73
  5. Step 5: Solve for x
    x = 106,114.73/505.20
  6. Step 6: Final answer
    x = 210.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.