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Finding the Fourth Proportional to 505.71, 758.48 and 140.49

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Solution

The fourth proportional to 505.71, 758.48 and 140.49 is: 210.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.71 : 758.48 = 140.49 : x
  2. Step 2: Convert to fraction form
    505.71/758.48 = 140.49/x
  3. Step 3: Cross multiply
    505.71x = 758.48 × 140.49
  4. Step 4: Simplify right side
    505.71x = 106,558.15
  5. Step 5: Solve for x
    x = 106,558.15/505.71
  6. Step 6: Final answer
    x = 210.71

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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.