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Finding the Fourth Proportional to 180.48, 269.44 and 176.64

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Solution

The fourth proportional to 180.48, 269.44 and 176.64 is: 263.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.48 : 269.44 = 176.64 : x
  2. Step 2: Convert to fraction form
    180.48/269.44 = 176.64/x
  3. Step 3: Cross multiply
    180.48x = 269.44 × 176.64
  4. Step 4: Simplify right side
    180.48x = 47,593.88
  5. Step 5: Solve for x
    x = 47,593.88/180.48
  6. Step 6: Final answer
    x = 263.71

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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.