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Finding the Fourth Proportional to 259.43, 358.04 and 161.18

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Solution

The fourth proportional to 259.43, 358.04 and 161.18 is: 222.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.43 : 358.04 = 161.18 : x
  2. Step 2: Convert to fraction form
    259.43/358.04 = 161.18/x
  3. Step 3: Cross multiply
    259.43x = 358.04 × 161.18
  4. Step 4: Simplify right side
    259.43x = 57,706.29
  5. Step 5: Solve for x
    x = 57,706.29/259.43
  6. Step 6: Final answer
    x = 222.44

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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.