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Finding the Fourth Proportional to 176.66, 243.21 and 167.54

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Solution

The fourth proportional to 176.66, 243.21 and 167.54 is: 230.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.66 : 243.21 = 167.54 : x
  2. Step 2: Convert to fraction form
    176.66/243.21 = 167.54/x
  3. Step 3: Cross multiply
    176.66x = 243.21 × 167.54
  4. Step 4: Simplify right side
    176.66x = 40,747.40
  5. Step 5: Solve for x
    x = 40,747.40/176.66
  6. Step 6: Final answer
    x = 230.65

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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.