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Finding the Fourth Proportional to 180.72, 269.64 and 176.57

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Solution

The fourth proportional to 180.72, 269.64 and 176.57 is: 263.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.72 : 269.64 = 176.57 : x
  2. Step 2: Convert to fraction form
    180.72/269.64 = 176.57/x
  3. Step 3: Cross multiply
    180.72x = 269.64 × 176.57
  4. Step 4: Simplify right side
    180.72x = 47,608.99
  5. Step 5: Solve for x
    x = 47,608.99/180.72
  6. Step 6: Final answer
    x = 263.44

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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.