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Finding the Fourth Proportional to 260.96, 359.84 and 178.12

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Solution

The fourth proportional to 260.96, 359.84 and 178.12 is: 245.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.96 : 359.84 = 178.12 : x
  2. Step 2: Convert to fraction form
    260.96/359.84 = 178.12/x
  3. Step 3: Cross multiply
    260.96x = 359.84 × 178.12
  4. Step 4: Simplify right side
    260.96x = 64,094.25
  5. Step 5: Solve for x
    x = 64,094.25/260.96
  6. Step 6: Final answer
    x = 245.61

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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.