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Finding the Fourth Proportional to 259.61, 358.41 and 161.49

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Solution

The fourth proportional to 259.61, 358.41 and 161.49 is: 222.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.61 : 358.41 = 161.49 : x
  2. Step 2: Convert to fraction form
    259.61/358.41 = 161.49/x
  3. Step 3: Cross multiply
    259.61x = 358.41 × 161.49
  4. Step 4: Simplify right side
    259.61x = 57,880.67
  5. Step 5: Solve for x
    x = 57,880.67/259.61
  6. Step 6: Final answer
    x = 222.96

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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.