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Finding the Fourth Proportional to 176.64, 263.85 and 118.38

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Solution

The fourth proportional to 176.64, 263.85 and 118.38 is: 176.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.64 : 263.85 = 118.38 : x
  2. Step 2: Convert to fraction form
    176.64/263.85 = 118.38/x
  3. Step 3: Cross multiply
    176.64x = 263.85 × 118.38
  4. Step 4: Simplify right side
    176.64x = 31,234.56
  5. Step 5: Solve for x
    x = 31,234.56/176.64
  6. Step 6: Final answer
    x = 176.83

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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.