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Finding the Fourth Proportional to 259.57, 358.24 and 180.87

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Solution

The fourth proportional to 259.57, 358.24 and 180.87 is: 249.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.57 : 358.24 = 180.87 : x
  2. Step 2: Convert to fraction form
    259.57/358.24 = 180.87/x
  3. Step 3: Cross multiply
    259.57x = 358.24 × 180.87
  4. Step 4: Simplify right side
    259.57x = 64,794.87
  5. Step 5: Solve for x
    x = 64,794.87/259.57
  6. Step 6: Final answer
    x = 249.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.