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Finding the Fourth Proportional to 260.76, 359.76 and 161.10

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Solution

The fourth proportional to 260.76, 359.76 and 161.10 is: 222.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.76 : 359.76 = 161.10 : x
  2. Step 2: Convert to fraction form
    260.76/359.76 = 161.10/x
  3. Step 3: Cross multiply
    260.76x = 359.76 × 161.10
  4. Step 4: Simplify right side
    260.76x = 57,957.34
  5. Step 5: Solve for x
    x = 57,957.34/260.76
  6. Step 6: Final answer
    x = 222.26

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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.