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Finding the Fourth Proportional to 399.56, 599.10 and 180.20

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Solution

The fourth proportional to 399.56, 599.10 and 180.20 is: 270.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.56 : 599.10 = 180.20 : x
  2. Step 2: Convert to fraction form
    399.56/599.10 = 180.20/x
  3. Step 3: Cross multiply
    399.56x = 599.10 × 180.20
  4. Step 4: Simplify right side
    399.56x = 107,957.82
  5. Step 5: Solve for x
    x = 107,957.82/399.56
  6. Step 6: Final answer
    x = 270.19

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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.