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Finding the Fourth Proportional to 262.12, 393.06 and 140.28

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Solution

The fourth proportional to 262.12, 393.06 and 140.28 is: 210.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.12 : 393.06 = 140.28 : x
  2. Step 2: Convert to fraction form
    262.12/393.06 = 140.28/x
  3. Step 3: Cross multiply
    262.12x = 393.06 × 140.28
  4. Step 4: Simplify right side
    262.12x = 55,138.46
  5. Step 5: Solve for x
    x = 55,138.46/262.12
  6. Step 6: Final answer
    x = 210.36

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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.