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Finding the Fourth Proportional to 260.85, 360.14 and 178.10

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Solution

The fourth proportional to 260.85, 360.14 and 178.10 is: 245.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.85 : 360.14 = 178.10 : x
  2. Step 2: Convert to fraction form
    260.85/360.14 = 178.10/x
  3. Step 3: Cross multiply
    260.85x = 360.14 × 178.10
  4. Step 4: Simplify right side
    260.85x = 64,138.24
  5. Step 5: Solve for x
    x = 64,138.24/260.85
  6. Step 6: Final answer
    x = 245.88

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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.