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Finding the Fourth Proportional to 507.24, 760.76 and 142.07

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Solution

The fourth proportional to 507.24, 760.76 and 142.07 is: 213.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.24 : 760.76 = 142.07 : x
  2. Step 2: Convert to fraction form
    507.24/760.76 = 142.07/x
  3. Step 3: Cross multiply
    507.24x = 760.76 × 142.07
  4. Step 4: Simplify right side
    507.24x = 108,076.66
  5. Step 5: Solve for x
    x = 108,076.66/507.24
  6. Step 6: Final answer
    x = 213.07

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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.