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Finding the Fourth Proportional to 260.36, 359.45 and 171.98

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Solution

The fourth proportional to 260.36, 359.45 and 171.98 is: 237.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.36 : 359.45 = 171.98 : x
  2. Step 2: Convert to fraction form
    260.36/359.45 = 171.98/x
  3. Step 3: Cross multiply
    260.36x = 359.45 × 171.98
  4. Step 4: Simplify right side
    260.36x = 61,818.21
  5. Step 5: Solve for x
    x = 61,818.21/260.36
  6. Step 6: Final answer
    x = 237.43

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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.