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Finding the Fourth Proportional to 262.11, 392.82 and 115.81

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Solution

The fourth proportional to 262.11, 392.82 and 115.81 is: 173.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.11 : 392.82 = 115.81 : x
  2. Step 2: Convert to fraction form
    262.11/392.82 = 115.81/x
  3. Step 3: Cross multiply
    262.11x = 392.82 × 115.81
  4. Step 4: Simplify right side
    262.11x = 45,492.48
  5. Step 5: Solve for x
    x = 45,492.48/262.11
  6. Step 6: Final answer
    x = 173.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.