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Finding the Fourth Proportional to 176.57, 265.19 and 108.22

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Solution

The fourth proportional to 176.57, 265.19 and 108.22 is: 162.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.57 : 265.19 = 108.22 : x
  2. Step 2: Convert to fraction form
    176.57/265.19 = 108.22/x
  3. Step 3: Cross multiply
    176.57x = 265.19 × 108.22
  4. Step 4: Simplify right side
    176.57x = 28,698.86
  5. Step 5: Solve for x
    x = 28,698.86/176.57
  6. Step 6: Final answer
    x = 162.54

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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.