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Finding the Fourth Proportional to 507.45, 761.15 and 142.23

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Solution

The fourth proportional to 507.45, 761.15 and 142.23 is: 213.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.45 : 761.15 = 142.23 : x
  2. Step 2: Convert to fraction form
    507.45/761.15 = 142.23/x
  3. Step 3: Cross multiply
    507.45x = 761.15 × 142.23
  4. Step 4: Simplify right side
    507.45x = 108,257.65
  5. Step 5: Solve for x
    x = 108,257.65/507.45
  6. Step 6: Final answer
    x = 213.34

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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.