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Finding the Fourth Proportional to 260.63, 359.53 and 172.25

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Solution

The fourth proportional to 260.63, 359.53 and 172.25 is: 237.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.63 : 359.53 = 172.25 : x
  2. Step 2: Convert to fraction form
    260.63/359.53 = 172.25/x
  3. Step 3: Cross multiply
    260.63x = 359.53 × 172.25
  4. Step 4: Simplify right side
    260.63x = 61,928.18
  5. Step 5: Solve for x
    x = 61,928.18/260.63
  6. Step 6: Final answer
    x = 237.61

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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.