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Finding the Fourth Proportional to 259.88, 358.74 and 161.78

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Solution

The fourth proportional to 259.88, 358.74 and 161.78 is: 223.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.88 : 358.74 = 161.78 : x
  2. Step 2: Convert to fraction form
    259.88/358.74 = 161.78/x
  3. Step 3: Cross multiply
    259.88x = 358.74 × 161.78
  4. Step 4: Simplify right side
    259.88x = 58,036.96
  5. Step 5: Solve for x
    x = 58,036.96/259.88
  6. Step 6: Final answer
    x = 223.32

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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.