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Finding the Fourth Proportional to 259.60, 358.16 and 161.27

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Solution

The fourth proportional to 259.60, 358.16 and 161.27 is: 222.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.60 : 358.16 = 161.27 : x
  2. Step 2: Convert to fraction form
    259.60/358.16 = 161.27/x
  3. Step 3: Cross multiply
    259.60x = 358.16 × 161.27
  4. Step 4: Simplify right side
    259.60x = 57,760.55
  5. Step 5: Solve for x
    x = 57,760.55/259.60
  6. Step 6: Final answer
    x = 222.50

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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.