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Finding the Fourth Proportional to 262.53, 393.61 and 97.96

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Solution

The fourth proportional to 262.53, 393.61 and 97.96 is: 146.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.53 : 393.61 = 97.96 : x
  2. Step 2: Convert to fraction form
    262.53/393.61 = 97.96/x
  3. Step 3: Cross multiply
    262.53x = 393.61 × 97.96
  4. Step 4: Simplify right side
    262.53x = 38,558.04
  5. Step 5: Solve for x
    x = 38,558.04/262.53
  6. Step 6: Final answer
    x = 146.87

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Why These Related Problems?

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