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Finding the Fourth Proportional to 260.30, 390.32 and 106.19

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Solution

The fourth proportional to 260.30, 390.32 and 106.19 is: 159.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.30 : 390.32 = 106.19 : x
  2. Step 2: Convert to fraction form
    260.30/390.32 = 106.19/x
  3. Step 3: Cross multiply
    260.30x = 390.32 × 106.19
  4. Step 4: Simplify right side
    260.30x = 41,449.66
  5. Step 5: Solve for x
    x = 41,449.66/260.30
  6. Step 6: Final answer
    x = 159.24

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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.