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Finding the Fourth Proportional to 260.06, 358.74 and 161.80

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Solution

The fourth proportional to 260.06, 358.74 and 161.80 is: 223.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.06 : 358.74 = 161.80 : x
  2. Step 2: Convert to fraction form
    260.06/358.74 = 161.80/x
  3. Step 3: Cross multiply
    260.06x = 358.74 × 161.80
  4. Step 4: Simplify right side
    260.06x = 58,044.13
  5. Step 5: Solve for x
    x = 58,044.13/260.06
  6. Step 6: Final answer
    x = 223.20

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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.