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Finding the Fourth Proportional to 260.63, 359.78 and 166.14

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Solution

The fourth proportional to 260.63, 359.78 and 166.14 is: 229.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.63 : 359.78 = 166.14 : x
  2. Step 2: Convert to fraction form
    260.63/359.78 = 166.14/x
  3. Step 3: Cross multiply
    260.63x = 359.78 × 166.14
  4. Step 4: Simplify right side
    260.63x = 59,773.02
  5. Step 5: Solve for x
    x = 59,773.02/260.63
  6. Step 6: Final answer
    x = 229.34

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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.