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Finding the Fourth Proportional to 260.18, 359.06 and 173.02

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Solution

The fourth proportional to 260.18, 359.06 and 173.02 is: 238.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.18 : 359.06 = 173.02 : x
  2. Step 2: Convert to fraction form
    260.18/359.06 = 173.02/x
  3. Step 3: Cross multiply
    260.18x = 359.06 × 173.02
  4. Step 4: Simplify right side
    260.18x = 62,124.56
  5. Step 5: Solve for x
    x = 62,124.56/260.18
  6. Step 6: Final answer
    x = 238.78

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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.