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Finding the Fourth Proportional to 195.55, 269.80 and 130.14

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Solution

The fourth proportional to 195.55, 269.80 and 130.14 is: 179.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.55 : 269.80 = 130.14 : x
  2. Step 2: Convert to fraction form
    195.55/269.80 = 130.14/x
  3. Step 3: Cross multiply
    195.55x = 269.80 × 130.14
  4. Step 4: Simplify right side
    195.55x = 35,111.45
  5. Step 5: Solve for x
    x = 35,111.45/195.55
  6. Step 6: Final answer
    x = 179.55

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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.