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Finding the Fourth Proportional to 259.97, 359.03 and 177.21

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Solution

The fourth proportional to 259.97, 359.03 and 177.21 is: 244.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.97 : 359.03 = 177.21 : x
  2. Step 2: Convert to fraction form
    259.97/359.03 = 177.21/x
  3. Step 3: Cross multiply
    259.97x = 359.03 × 177.21
  4. Step 4: Simplify right side
    259.97x = 63,624.15
  5. Step 5: Solve for x
    x = 63,624.15/259.97
  6. Step 6: Final answer
    x = 244.74

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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.