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Finding the Fourth Proportional to 259.69, 358.37 and 149.16

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Solution

The fourth proportional to 259.69, 358.37 and 149.16 is: 205.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.69 : 358.37 = 149.16 : x
  2. Step 2: Convert to fraction form
    259.69/358.37 = 149.16/x
  3. Step 3: Cross multiply
    259.69x = 358.37 × 149.16
  4. Step 4: Simplify right side
    259.69x = 53,453.19
  5. Step 5: Solve for x
    x = 53,453.19/259.69
  6. Step 6: Final answer
    x = 205.84

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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.