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Finding the Fourth Proportional to 180.09, 269.80 and 97.70

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Solution

The fourth proportional to 180.09, 269.80 and 97.70 is: 146.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.09 : 269.80 = 97.70 : x
  2. Step 2: Convert to fraction form
    180.09/269.80 = 97.70/x
  3. Step 3: Cross multiply
    180.09x = 269.80 × 97.70
  4. Step 4: Simplify right side
    180.09x = 26,357.87
  5. Step 5: Solve for x
    x = 26,357.87/180.09
  6. Step 6: Final answer
    x = 146.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.