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Finding the Fourth Proportional to 195.45, 269.72 and 110.28

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Solution

The fourth proportional to 195.45, 269.72 and 110.28 is: 152.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.45 : 269.72 = 110.28 : x
  2. Step 2: Convert to fraction form
    195.45/269.72 = 110.28/x
  3. Step 3: Cross multiply
    195.45x = 269.72 × 110.28
  4. Step 4: Simplify right side
    195.45x = 29,744.72
  5. Step 5: Solve for x
    x = 29,744.72/195.45
  6. Step 6: Final answer
    x = 152.19

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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.