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Finding the Fourth Proportional to 195.62, 269.88 and 130.16

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Solution

The fourth proportional to 195.62, 269.88 and 130.16 is: 179.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.62 : 269.88 = 130.16 : x
  2. Step 2: Convert to fraction form
    195.62/269.88 = 130.16/x
  3. Step 3: Cross multiply
    195.62x = 269.88 × 130.16
  4. Step 4: Simplify right side
    195.62x = 35,126.98
  5. Step 5: Solve for x
    x = 35,126.98/195.62
  6. Step 6: Final answer
    x = 179.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.