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Finding the Fourth Proportional to 259.78, 358.14 and 185.97

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Solution

The fourth proportional to 259.78, 358.14 and 185.97 is: 256.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.78 : 358.14 = 185.97 : x
  2. Step 2: Convert to fraction form
    259.78/358.14 = 185.97/x
  3. Step 3: Cross multiply
    259.78x = 358.14 × 185.97
  4. Step 4: Simplify right side
    259.78x = 66,603.30
  5. Step 5: Solve for x
    x = 66,603.30/259.78
  6. Step 6: Final answer
    x = 256.38

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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.