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Finding the Fourth Proportional to 176.72, 265.24 and 108.37

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Solution

The fourth proportional to 176.72, 265.24 and 108.37 is: 162.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.72 : 265.24 = 108.37 : x
  2. Step 2: Convert to fraction form
    176.72/265.24 = 108.37/x
  3. Step 3: Cross multiply
    176.72x = 265.24 × 108.37
  4. Step 4: Simplify right side
    176.72x = 28,744.53
  5. Step 5: Solve for x
    x = 28,744.53/176.72
  6. Step 6: Final answer
    x = 162.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.