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Finding the Fourth Proportional to 259.80, 358.46 and 149.23

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Solution

The fourth proportional to 259.80, 358.46 and 149.23 is: 205.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.80 : 358.46 = 149.23 : x
  2. Step 2: Convert to fraction form
    259.80/358.46 = 149.23/x
  3. Step 3: Cross multiply
    259.80x = 358.46 × 149.23
  4. Step 4: Simplify right side
    259.80x = 53,493.25
  5. Step 5: Solve for x
    x = 53,493.25/259.80
  6. Step 6: Final answer
    x = 205.90

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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.