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Finding the Fourth Proportional to 176.85, 243.84 and 121.64

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Solution

The fourth proportional to 176.85, 243.84 and 121.64 is: 167.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.85 : 243.84 = 121.64 : x
  2. Step 2: Convert to fraction form
    176.85/243.84 = 121.64/x
  3. Step 3: Cross multiply
    176.85x = 243.84 × 121.64
  4. Step 4: Simplify right side
    176.85x = 29,659.93
  5. Step 5: Solve for x
    x = 29,659.93/176.85
  6. Step 6: Final answer
    x = 167.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.