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Finding the Fourth Proportional to 260.29, 390.05 and 205.58

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Solution

The fourth proportional to 260.29, 390.05 and 205.58 is: 308.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.29 : 390.05 = 205.58 : x
  2. Step 2: Convert to fraction form
    260.29/390.05 = 205.58/x
  3. Step 3: Cross multiply
    260.29x = 390.05 × 205.58
  4. Step 4: Simplify right side
    260.29x = 80,186.48
  5. Step 5: Solve for x
    x = 80,186.48/260.29
  6. Step 6: Final answer
    x = 308.07

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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.