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Finding the Fourth Proportional to 262.88, 362.76 and 164.72

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Solution

The fourth proportional to 262.88, 362.76 and 164.72 is: 227.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.88 : 362.76 = 164.72 : x
  2. Step 2: Convert to fraction form
    262.88/362.76 = 164.72/x
  3. Step 3: Cross multiply
    262.88x = 362.76 × 164.72
  4. Step 4: Simplify right side
    262.88x = 59,753.83
  5. Step 5: Solve for x
    x = 59,753.83/262.88
  6. Step 6: Final answer
    x = 227.30

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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.