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Finding the Fourth Proportional to 505.23, 757.85 and 140.02

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Solution

The fourth proportional to 505.23, 757.85 and 140.02 is: 210.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.23 : 757.85 = 140.02 : x
  2. Step 2: Convert to fraction form
    505.23/757.85 = 140.02/x
  3. Step 3: Cross multiply
    505.23x = 757.85 × 140.02
  4. Step 4: Simplify right side
    505.23x = 106,114.16
  5. Step 5: Solve for x
    x = 106,114.16/505.23
  6. Step 6: Final answer
    x = 210.03

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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.