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Finding the Fourth Proportional to 260.76, 359.78 and 182.00

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Solution

The fourth proportional to 260.76, 359.78 and 182.00 is: 251.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.76 : 359.78 = 182.00 : x
  2. Step 2: Convert to fraction form
    260.76/359.78 = 182.00/x
  3. Step 3: Cross multiply
    260.76x = 359.78 × 182.00
  4. Step 4: Simplify right side
    260.76x = 65,477.25
  5. Step 5: Solve for x
    x = 65,477.25/260.76
  6. Step 6: Final answer
    x = 251.10

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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.