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Finding the Fourth Proportional to 259.88, 358.58 and 149.33

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Solution

The fourth proportional to 259.88, 358.58 and 149.33 is: 206.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.88 : 358.58 = 149.33 : x
  2. Step 2: Convert to fraction form
    259.88/358.58 = 149.33/x
  3. Step 3: Cross multiply
    259.88x = 358.58 × 149.33
  4. Step 4: Simplify right side
    259.88x = 53,546.68
  5. Step 5: Solve for x
    x = 53,546.68/259.88
  6. Step 6: Final answer
    x = 206.05

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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.