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Finding the Fourth Proportional to 260.55, 359.73 and 162.42

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Solution

The fourth proportional to 260.55, 359.73 and 162.42 is: 224.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.55 : 359.73 = 162.42 : x
  2. Step 2: Convert to fraction form
    260.55/359.73 = 162.42/x
  3. Step 3: Cross multiply
    260.55x = 359.73 × 162.42
  4. Step 4: Simplify right side
    260.55x = 58,427.35
  5. Step 5: Solve for x
    x = 58,427.35/260.55
  6. Step 6: Final answer
    x = 224.25

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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.