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Finding the Fourth Proportional to 180.60, 269.60 and 159

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Solution

The fourth proportional to 180.60, 269.60 and 159 is: 237.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.60 : 269.60 = 159 : x
  2. Step 2: Convert to fraction form
    180.60/269.60 = 159/x
  3. Step 3: Cross multiply
    180.60x = 269.60 × 159
  4. Step 4: Simplify right side
    180.60x = 42,866.40
  5. Step 5: Solve for x
    x = 42,866.40/180.60
  6. Step 6: Final answer
    x = 237.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.