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Finding the Fourth Proportional to 260.88, 359.80 and 172.52

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Solution

The fourth proportional to 260.88, 359.80 and 172.52 is: 237.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.88 : 359.80 = 172.52 : x
  2. Step 2: Convert to fraction form
    260.88/359.80 = 172.52/x
  3. Step 3: Cross multiply
    260.88x = 359.80 × 172.52
  4. Step 4: Simplify right side
    260.88x = 62,072.70
  5. Step 5: Solve for x
    x = 62,072.70/260.88
  6. Step 6: Final answer
    x = 237.94

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