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Finding the Fourth Proportional to 260.90, 360.16 and 167.66

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Solution

The fourth proportional to 260.90, 360.16 and 167.66 is: 231.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.90 : 360.16 = 167.66 : x
  2. Step 2: Convert to fraction form
    260.90/360.16 = 167.66/x
  3. Step 3: Cross multiply
    260.90x = 360.16 × 167.66
  4. Step 4: Simplify right side
    260.90x = 60,384.43
  5. Step 5: Solve for x
    x = 60,384.43/260.90
  6. Step 6: Final answer
    x = 231.45

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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.