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Finding the Fourth Proportional to 262.04, 393.05 and 140.20

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Solution

The fourth proportional to 262.04, 393.05 and 140.20 is: 210.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.04 : 393.05 = 140.20 : x
  2. Step 2: Convert to fraction form
    262.04/393.05 = 140.20/x
  3. Step 3: Cross multiply
    262.04x = 393.05 × 140.20
  4. Step 4: Simplify right side
    262.04x = 55,104.98
  5. Step 5: Solve for x
    x = 55,104.98/262.04
  6. Step 6: Final answer
    x = 210.30

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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.