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Finding the Fourth Proportional to 260.14, 358.86 and 161.86

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Solution

The fourth proportional to 260.14, 358.86 and 161.86 is: 223.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.14 : 358.86 = 161.86 : x
  2. Step 2: Convert to fraction form
    260.14/358.86 = 161.86/x
  3. Step 3: Cross multiply
    260.14x = 358.86 × 161.86
  4. Step 4: Simplify right side
    260.14x = 58,085.08
  5. Step 5: Solve for x
    x = 58,085.08/260.14
  6. Step 6: Final answer
    x = 223.28

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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.