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Finding the Fourth Proportional to 262.44, 393.66 and 141.24

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Solution

The fourth proportional to 262.44, 393.66 and 141.24 is: 211.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.44 : 393.66 = 141.24 : x
  2. Step 2: Convert to fraction form
    262.44/393.66 = 141.24/x
  3. Step 3: Cross multiply
    262.44x = 393.66 × 141.24
  4. Step 4: Simplify right side
    262.44x = 55,602.01
  5. Step 5: Solve for x
    x = 55,602.01/262.44
  6. Step 6: Final answer
    x = 211.87

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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.