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Finding the Fourth Proportional to 260.27, 359.33 and 235.50

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Solution

The fourth proportional to 260.27, 359.33 and 235.50 is: 325.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.27 : 359.33 = 235.50 : x
  2. Step 2: Convert to fraction form
    260.27/359.33 = 235.50/x
  3. Step 3: Cross multiply
    260.27x = 359.33 × 235.50
  4. Step 4: Simplify right side
    260.27x = 84,621.04
  5. Step 5: Solve for x
    x = 84,621.04/260.27
  6. Step 6: Final answer
    x = 325.13

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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.