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Finding the Fourth Proportional to 260.12, 358.95 and 142.09

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Solution

The fourth proportional to 260.12, 358.95 and 142.09 is: 196.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.12 : 358.95 = 142.09 : x
  2. Step 2: Convert to fraction form
    260.12/358.95 = 142.09/x
  3. Step 3: Cross multiply
    260.12x = 358.95 × 142.09
  4. Step 4: Simplify right side
    260.12x = 51,003.21
  5. Step 5: Solve for x
    x = 51,003.21/260.12
  6. Step 6: Final answer
    x = 196.08

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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.