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Finding the Fourth Proportional to 195.58, 269.31 and 180.10

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Solution

The fourth proportional to 195.58, 269.31 and 180.10 is: 247.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.58 : 269.31 = 180.10 : x
  2. Step 2: Convert to fraction form
    195.58/269.31 = 180.10/x
  3. Step 3: Cross multiply
    195.58x = 269.31 × 180.10
  4. Step 4: Simplify right side
    195.58x = 48,502.73
  5. Step 5: Solve for x
    x = 48,502.73/195.58
  6. Step 6: Final answer
    x = 247.99

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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.