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Finding the Fourth Proportional to 180.54, 269.51 and 164.34

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Solution

The fourth proportional to 180.54, 269.51 and 164.34 is: 245.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.54 : 269.51 = 164.34 : x
  2. Step 2: Convert to fraction form
    180.54/269.51 = 164.34/x
  3. Step 3: Cross multiply
    180.54x = 269.51 × 164.34
  4. Step 4: Simplify right side
    180.54x = 44,290.45
  5. Step 5: Solve for x
    x = 44,290.45/180.54
  6. Step 6: Final answer
    x = 245.32

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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.