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Finding the Fourth Proportional to 260.40, 359.46 and 177.55

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Solution

The fourth proportional to 260.40, 359.46 and 177.55 is: 245.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.40 : 359.46 = 177.55 : x
  2. Step 2: Convert to fraction form
    260.40/359.46 = 177.55/x
  3. Step 3: Cross multiply
    260.40x = 359.46 × 177.55
  4. Step 4: Simplify right side
    260.40x = 63,822.58
  5. Step 5: Solve for x
    x = 63,822.58/260.40
  6. Step 6: Final answer
    x = 245.09

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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.