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Finding the Fourth Proportional to 176.67, 263.23 and 164.25

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Solution

The fourth proportional to 176.67, 263.23 and 164.25 is: 244.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.67 : 263.23 = 164.25 : x
  2. Step 2: Convert to fraction form
    176.67/263.23 = 164.25/x
  3. Step 3: Cross multiply
    176.67x = 263.23 × 164.25
  4. Step 4: Simplify right side
    176.67x = 43,235.12
  5. Step 5: Solve for x
    x = 43,235.12/176.67
  6. Step 6: Final answer
    x = 244.72

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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.