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Finding the Fourth Proportional to 260.41, 390.62 and 114.04

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Solution

The fourth proportional to 260.41, 390.62 and 114.04 is: 171.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.41 : 390.62 = 114.04 : x
  2. Step 2: Convert to fraction form
    260.41/390.62 = 114.04/x
  3. Step 3: Cross multiply
    260.41x = 390.62 × 114.04
  4. Step 4: Simplify right side
    260.41x = 44,546.30
  5. Step 5: Solve for x
    x = 44,546.30/260.41
  6. Step 6: Final answer
    x = 171.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.