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Finding the Fourth Proportional to 505.96, 758.94 and 140.74

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Solution

The fourth proportional to 505.96, 758.94 and 140.74 is: 211.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.96 : 758.94 = 140.74 : x
  2. Step 2: Convert to fraction form
    505.96/758.94 = 140.74/x
  3. Step 3: Cross multiply
    505.96x = 758.94 × 140.74
  4. Step 4: Simplify right side
    505.96x = 106,813.22
  5. Step 5: Solve for x
    x = 106,813.22/505.96
  6. Step 6: Final answer
    x = 211.11

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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.