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Finding the Fourth Proportional to 195.57, 269.93 and 130.02

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Solution

The fourth proportional to 195.57, 269.93 and 130.02 is: 179.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.57 : 269.93 = 130.02 : x
  2. Step 2: Convert to fraction form
    195.57/269.93 = 130.02/x
  3. Step 3: Cross multiply
    195.57x = 269.93 × 130.02
  4. Step 4: Simplify right side
    195.57x = 35,096.30
  5. Step 5: Solve for x
    x = 35,096.30/195.57
  6. Step 6: Final answer
    x = 179.46

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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.