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Finding the Fourth Proportional to 260.14, 359.08 and 177.66

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Solution

The fourth proportional to 260.14, 359.08 and 177.66 is: 245.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.14 : 359.08 = 177.66 : x
  2. Step 2: Convert to fraction form
    260.14/359.08 = 177.66/x
  3. Step 3: Cross multiply
    260.14x = 359.08 × 177.66
  4. Step 4: Simplify right side
    260.14x = 63,794.15
  5. Step 5: Solve for x
    x = 63,794.15/260.14
  6. Step 6: Final answer
    x = 245.23

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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.