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Finding the Fourth Proportional to 167.10, 227.64 and 167.10

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Solution

The fourth proportional to 167.10, 227.64 and 167.10 is: 227.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.10 : 227.64 = 167.10 : x
  2. Step 2: Convert to fraction form
    167.10/227.64 = 167.10/x
  3. Step 3: Cross multiply
    167.10x = 227.64 × 167.10
  4. Step 4: Simplify right side
    167.10x = 38,038.64
  5. Step 5: Solve for x
    x = 38,038.64/167.10
  6. Step 6: Final answer
    x = 227.64

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.