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Finding the Fourth Proportional to 506.92, 760.26 and 141.74

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Solution

The fourth proportional to 506.92, 760.26 and 141.74 is: 212.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.92 : 760.26 = 141.74 : x
  2. Step 2: Convert to fraction form
    506.92/760.26 = 141.74/x
  3. Step 3: Cross multiply
    506.92x = 760.26 × 141.74
  4. Step 4: Simplify right side
    506.92x = 107,754.74
  5. Step 5: Solve for x
    x = 107,754.74/506.92
  6. Step 6: Final answer
    x = 212.57

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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.