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Finding the Fourth Proportional to 260.40, 359.19 and 186.58

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Solution

The fourth proportional to 260.40, 359.19 and 186.58 is: 257.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.40 : 359.19 = 186.58 : x
  2. Step 2: Convert to fraction form
    260.40/359.19 = 186.58/x
  3. Step 3: Cross multiply
    260.40x = 359.19 × 186.58
  4. Step 4: Simplify right side
    260.40x = 67,017.67
  5. Step 5: Solve for x
    x = 67,017.67/260.40
  6. Step 6: Final answer
    x = 257.36

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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.