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Finding the Fourth Proportional to 260.96, 359.78 and 177.93

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Solution

The fourth proportional to 260.96, 359.78 and 177.93 is: 245.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.96 : 359.78 = 177.93 : x
  2. Step 2: Convert to fraction form
    260.96/359.78 = 177.93/x
  3. Step 3: Cross multiply
    260.96x = 359.78 × 177.93
  4. Step 4: Simplify right side
    260.96x = 64,014.77
  5. Step 5: Solve for x
    x = 64,014.77/260.96
  6. Step 6: Final answer
    x = 245.31

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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.