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Finding the Fourth Proportional to 505.47, 758.09 and 140.23

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Solution

The fourth proportional to 505.47, 758.09 and 140.23 is: 210.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.47 : 758.09 = 140.23 : x
  2. Step 2: Convert to fraction form
    505.47/758.09 = 140.23/x
  3. Step 3: Cross multiply
    505.47x = 758.09 × 140.23
  4. Step 4: Simplify right side
    505.47x = 106,308.26
  5. Step 5: Solve for x
    x = 106,308.26/505.47
  6. Step 6: Final answer
    x = 210.31

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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.