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Finding the Fourth Proportional to 260.67, 359.15 and 177.60

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Solution

The fourth proportional to 260.67, 359.15 and 177.60 is: 244.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.67 : 359.15 = 177.60 : x
  2. Step 2: Convert to fraction form
    260.67/359.15 = 177.60/x
  3. Step 3: Cross multiply
    260.67x = 359.15 × 177.60
  4. Step 4: Simplify right side
    260.67x = 63,784.15
  5. Step 5: Solve for x
    x = 63,784.15/260.67
  6. Step 6: Final answer
    x = 244.69

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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.