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Finding the Fourth Proportional to 260.29, 359.22 and 148.29

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Solution

The fourth proportional to 260.29, 359.22 and 148.29 is: 204.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.29 : 359.22 = 148.29 : x
  2. Step 2: Convert to fraction form
    260.29/359.22 = 148.29/x
  3. Step 3: Cross multiply
    260.29x = 359.22 × 148.29
  4. Step 4: Simplify right side
    260.29x = 53,268.73
  5. Step 5: Solve for x
    x = 53,268.73/260.29
  6. Step 6: Final answer
    x = 204.65

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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.