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Finding the Fourth Proportional to 507.82, 761.60 and 142.63

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Solution

The fourth proportional to 507.82, 761.60 and 142.63 is: 213.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.82 : 761.60 = 142.63 : x
  2. Step 2: Convert to fraction form
    507.82/761.60 = 142.63/x
  3. Step 3: Cross multiply
    507.82x = 761.60 × 142.63
  4. Step 4: Simplify right side
    507.82x = 108,626.29
  5. Step 5: Solve for x
    x = 108,626.29/507.82
  6. Step 6: Final answer
    x = 213.91

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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.