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Finding the Fourth Proportional to 195.56, 269.88 and 146.24

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Solution

The fourth proportional to 195.56, 269.88 and 146.24 is: 201.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.56 : 269.88 = 146.24 : x
  2. Step 2: Convert to fraction form
    195.56/269.88 = 146.24/x
  3. Step 3: Cross multiply
    195.56x = 269.88 × 146.24
  4. Step 4: Simplify right side
    195.56x = 39,467.25
  5. Step 5: Solve for x
    x = 39,467.25/195.56
  6. Step 6: Final answer
    x = 201.82

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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.