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Finding the Fourth Proportional to 176.72, 263.46 and 161.36

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Solution

The fourth proportional to 176.72, 263.46 and 161.36 is: 240.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.72 : 263.46 = 161.36 : x
  2. Step 2: Convert to fraction form
    176.72/263.46 = 161.36/x
  3. Step 3: Cross multiply
    176.72x = 263.46 × 161.36
  4. Step 4: Simplify right side
    176.72x = 42,511.91
  5. Step 5: Solve for x
    x = 42,511.91/176.72
  6. Step 6: Final answer
    x = 240.56

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