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Finding the Fourth Proportional to 260.54, 359.52 and 154.23

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Solution

The fourth proportional to 260.54, 359.52 and 154.23 is: 212.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.54 : 359.52 = 154.23 : x
  2. Step 2: Convert to fraction form
    260.54/359.52 = 154.23/x
  3. Step 3: Cross multiply
    260.54x = 359.52 × 154.23
  4. Step 4: Simplify right side
    260.54x = 55,448.77
  5. Step 5: Solve for x
    x = 55,448.77/260.54
  6. Step 6: Final answer
    x = 212.83

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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.