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Finding the Fourth Proportional to 259.64, 358.31 and 149.13

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Solution

The fourth proportional to 259.64, 358.31 and 149.13 is: 205.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.64 : 358.31 = 149.13 : x
  2. Step 2: Convert to fraction form
    259.64/358.31 = 149.13/x
  3. Step 3: Cross multiply
    259.64x = 358.31 × 149.13
  4. Step 4: Simplify right side
    259.64x = 53,435.14
  5. Step 5: Solve for x
    x = 53,435.14/259.64
  6. Step 6: Final answer
    x = 205.80

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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.