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Finding the Fourth Proportional to 176.32, 263.16 and 161.88

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Solution

The fourth proportional to 176.32, 263.16 and 161.88 is: 241.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.32 : 263.16 = 161.88 : x
  2. Step 2: Convert to fraction form
    176.32/263.16 = 161.88/x
  3. Step 3: Cross multiply
    176.32x = 263.16 × 161.88
  4. Step 4: Simplify right side
    176.32x = 42,600.34
  5. Step 5: Solve for x
    x = 42,600.34/176.32
  6. Step 6: Final answer
    x = 241.61

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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.