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Finding the Fourth Proportional to 507.56, 761.40 and 142.34

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Solution

The fourth proportional to 507.56, 761.40 and 142.34 is: 213.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.56 : 761.40 = 142.34 : x
  2. Step 2: Convert to fraction form
    507.56/761.40 = 142.34/x
  3. Step 3: Cross multiply
    507.56x = 761.40 × 142.34
  4. Step 4: Simplify right side
    507.56x = 108,377.68
  5. Step 5: Solve for x
    x = 108,377.68/507.56
  6. Step 6: Final answer
    x = 213.53

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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.