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Finding the Fourth Proportional to 386.99, 580.51 and 140.24

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Solution

The fourth proportional to 386.99, 580.51 and 140.24 is: 210.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.99 : 580.51 = 140.24 : x
  2. Step 2: Convert to fraction form
    386.99/580.51 = 140.24/x
  3. Step 3: Cross multiply
    386.99x = 580.51 × 140.24
  4. Step 4: Simplify right side
    386.99x = 81,410.72
  5. Step 5: Solve for x
    x = 81,410.72/386.99
  6. Step 6: Final answer
    x = 210.37

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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.