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Finding the Fourth Proportional to 260.13, 358.94 and 149.59

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Solution

The fourth proportional to 260.13, 358.94 and 149.59 is: 206.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.13 : 358.94 = 149.59 : x
  2. Step 2: Convert to fraction form
    260.13/358.94 = 149.59/x
  3. Step 3: Cross multiply
    260.13x = 358.94 × 149.59
  4. Step 4: Simplify right side
    260.13x = 53,692.19
  5. Step 5: Solve for x
    x = 53,692.19/260.13
  6. Step 6: Final answer
    x = 206.41

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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.