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Finding the Fourth Proportional to 507.26, 760.86 and 142.09

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Solution

The fourth proportional to 507.26, 760.86 and 142.09 is: 213.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.26 : 760.86 = 142.09 : x
  2. Step 2: Convert to fraction form
    507.26/760.86 = 142.09/x
  3. Step 3: Cross multiply
    507.26x = 760.86 × 142.09
  4. Step 4: Simplify right side
    507.26x = 108,108.70
  5. Step 5: Solve for x
    x = 108,108.70/507.26
  6. Step 6: Final answer
    x = 213.12

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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.