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Finding the Fourth Proportional to 262.96, 394.48 and 147.56

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Solution

The fourth proportional to 262.96, 394.48 and 147.56 is: 221.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.96 : 394.48 = 147.56 : x
  2. Step 2: Convert to fraction form
    262.96/394.48 = 147.56/x
  3. Step 3: Cross multiply
    262.96x = 394.48 × 147.56
  4. Step 4: Simplify right side
    262.96x = 58,209.47
  5. Step 5: Solve for x
    x = 58,209.47/262.96
  6. Step 6: Final answer
    x = 221.36

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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.